Answer:So the radius of the cylinder is 2.65 cm.
A cylinder can be defined as a solid figure that is bound by a curved surface and two flat surfaces. The surface area of a cylinder can be found by breaking it down into 2 parts:
1. The two circles that make up the caps of the cylinder.
2. The side of the cylinder, which when "unrolled" is a rectangle.
The area of each end cap can be found from the radius r of the circle, which is given by:
A = πr2
Thus the total area of the caps is 2πr2.
The area of a rectangle is given by:
A = height × width
The width is the height h of the cylinder, and the length is the distance around the end circles, or in other words the perimeter/circumference of the base/top circle and is given by:
P = 2πr
Thus the rectangle's area is rewritten as:
A = 2πr × h
Combining these parts together we will have the total surface area of a cylinder, and the final formula is given by:
A = 2πr2 + 2πrh
where:
π is Pi, approximately 3.142
r is the radius of the cylinder
h height of the cylinder
By factoring 2πr from each term we can simplify the formula to:
A = 2πr(r + h)
The lateral surface area of a cylinder is simply given by: LSA = 2πr × h.
Example 1: Find the surface area of a cylinder with a radius of 4 cm, and a height of 3 cm.
Solution:
SA = 2 × π × r2 + 2 × π × r × h
SA = 2 × 3.14 × 42 + 2 × 3.14 × 4 × 3
SA = 6.28 × 16 + 6.28 × 12
SA = 100.48 + 75.36
SA = 175.84
Surface area = 175.84 cm2
Example 2: Find the surface area of the cylinder with a radius of 5.5cm and height of 10cm.
Solution:
The radius of cylinder = 5.5 cm.
The height of cylinder = 10 cm.
The total surface area of the cylinder is therefore:
TSA = 2πr(r+h)
TSA = 11π (5.5+10)
TSA = 170.5 π
TSA = 535.6 cm2
Example 3: Find the total surface area of a cylindrical tin of radius 17 cm and height 3 cm.
Solution:
Again as in the previous example:
TSA = 2πr(r+h)
TSA = 2π× 17(17+3)
TSA = 2π×17×20
TSA = 2136.56 cm2
Example 4: Find the surface area of the cylinder with radius of 6 cm and height of 9 cm.
Solution:
The radius of cylinder: r = 6 cm
The height of cylinder: h = 9 cm
Total surface area of cylinder is therefore:
TSA = 2πr(r + h)
TSA = 12π (6+9)
TSA = 180 π
TSA = 565.56 cm2
Example 5: Find the radius of cylinder whose lateral surface area is 150 cm2 and its height is 9 cm.
Solution:
Lateral surface area of cylinder is given by:
LSA = 2πrh
Given that:
LSA = 150cm2
h = 9cm
π is the constant and its value = 3.14
Substitute the values in the formula and find the value of r by isolating it from the equation:
LSA = 2πrh
150 = 2× π × r × 9
r = 150 / (2×9× π)
r = 2.65cm
So the radius of the cylinder is 2.65 cm.
The lateral surface area of cylinder is 62.8 square units, total surface area is 87.92 square units and 62.8 cubic units is the volume.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Let us consider the radius of the cylinder is 2 and height of cylinder is 5.
Lateral surface area = 2πrh
Plug in the values of radius and height
=2×3.14×2×5
=62.8 square units.
Total surface area TSA= 2πr(h+r)
=2×3.14×2(5+2)
=2×3.14×2×7
=87.92 square units
Volume of cylinder= πr²h
=3.14×4×5
=62.8 cubic units
Hence, the lateral surface area of cylinder is 62.8 square units, total surface area is 87.92 square units and 62.8 cubic units is the volume.
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please answer
u dont need a explanation
The answer is D
Hope this helped
What is the area of the shaded portion of the circle? (16π – 32) in2 (16π – 8) in2 (64π – 32) in2 (64π – 8) in2.
The area of the shaded portion is (16π - 32) in².
What is the area of the circle?The radius of a circle is the distance from the center of a circle to any point on the circle. If you place two radii end-to-end in a circle, you would have the same length as one diameter.
In the picture attached, the circle is shown.
The area of one-quarter of the circle is given by;
[tex]\rm = \dfrac{1}{4}\times Area\ of \ a \ circle \\\\= \dfrac{1}{4}\times \pi \times radius^2\\\\ = \dfrac{1}{4}\times \pi \times 8^2\\\\= 16\pi \ in^2[/tex]
The area of the triangle is given by;
[tex]\rm = \dfrac{1}{2} \times base\times height \\\\= \dfrac{1}{2} \times 8\times 8 = 32 \ in^2[/tex]
The area of the shaded portion is;
Shaded area = Area of one-quarter of the circle - Area of the triangle = (16π - 32) in²
Hence, the area of the shaded portion is (16π - 32) in².
To know more about the area of the circle click the link given below.
https://brainly.com/question/6667078
Find the volume in cubic feet. *
1 ft
Data
3ft
vo ft
Add.
4 7/12 + 2 3/4 + 7 5/12
A.) 13 3/4
B.) 14 1/4
C.) 14 3/4
D.) 15 1/4
Refer to the figure. Justify your answer. Each side length is doubled. Describe the change in the PERIMETER. *
Answer:
perimeter is doubled to 30.8 cm
Step-by-step explanation:
The perimeter is the sum of side lengths. The perimeter of this figure is the sum ...
4 cm + 5 cm + 6.4 cm = 15.4 cm
__
When the side lengths are doubled, the perimeter is doubled:
2(4 cm) +2(5 cm) +2(6.4 cm) = 2(4 cm +5 cm +6.4 cm) = 2(15.4 cm)
= 30.8 cm
The perimeter is doubled.
__
Additional comment
Any scale factor that applies to all of the side lengths also applies to the perimeter.
How do we get energy frome the food we eat
Step-by-step explanation:
The food we eat is taken inside the body.
The body or the organ system starts breaking down the food into small soluble parts.
The digestive system digests food and its by products is energy and thats how we get energy from food
If the exterior angle of a regular polygon is 7.2 degrees, what is the name of that polygon?
Answer choices:
25-gon
Heptagon
50-gon
Hexagon
A regular polygon with exterior angle of 7.2 degrees is a 50-gon.
Regular polygonRegular polygon are polygon that are equiangular. This simply means they are polygon with equal angles.
The formula to find the number of sides of a polygon using exterior angle is as follows:
exterior angle = 360 / nwhere
n = number of sides
Therefore,
7.2 = 360 / n
cross multiply
7.2n = 360
divide both sides by 7.2
n = 360 / 7.2
n = 50
The polygon has 50 sides. Therefore, it is a 50-gon
learn more on polygon here: https://brainly.com/question/12105506
Nancy has x coins. Kevin has 2 coins fewer than two times the number of coins Nancy has. Write and simplify an expression for the total number of coins Nancy and Kevin have.
Answer: Nancy = x
Kevin = 2x-2
Step-by-step explanation:
HELP my homework’s due tomorrow
Answer:
a) 38, 22, 14
b) 14.6
Step-by-step explanation:
a) 38 (add 6, then divide by 2)
38 + 6 = 44
44/2 = 22
22 + 6 = 28
28/2 = 14
b) 38 (divide by 5, then add 7)
38/5 = 7.6
7.6 + 7= 14.6
Hope this helps!
guys cmon i need the answerrrrr
also dont forget the way
2 part :-
SA = 6 side²
SA = 6 × 8²
SA = 6 × 64
SA = 384 cm²
Which of the following rational functions is graphed below? F(x) = 1/(x-6)(x+6)
A rational function means any function which can be defined by a rational fraction.
What is a rational function?Your information is incomplete. Therefore, an overview of a rational function will be given below.
A rational function van be written as the ratio of two polynomial functions. It is an algebraic function that has the numerator as denominator as polynomials.
Learn more about functions on:
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Shelly has run 21 km of the 24 km race. What fraction of the race was not completed by her? Express it in lowest form.
Answer:
21/24
in it's lowest form- 7/8
hope this helps
pls rank Brainliest
Which of the lines below has a slope of zero?
A. Line A
B. Line B
C. Line C
D. Line D
Answer:
B
Step-by-step explanation:
slope means the line is the amount of movement up or down, but b is not doing either, thus the slope is 0
Answer:
B
Step-by-step explanation:
Every other line has a slope except B
PLEASE ANSWER WILL GIVE 75 POINTS!!!!!
Answer:
[tex]\frac{4}{33}[/tex] and [tex]\frac{1}{27}[/tex]
Step-by-step explanation:
We require 2 equations with the repeating numbers placed after the decimal point.
let x = 0.1212...... (1) ← multiply both sides by 10
100x = 12.1212.... (2)
subtract (1) from (2) thus eliminating the repeating numbers
99x = 12 ( divide both sides by 99 )
x = [tex]\frac{12}{99}[/tex] = [tex]\frac{4}{33}[/tex] ← in simplest form
-------------------------------------------------------
let x = 0.037037....... (1) ← multiply both sides by 1000
1000x = 37.037037..... (2)
subtract (1) from (2) to eliminate the repeating numbers
999x = 37 ( divide both sides by 999 )
x = [tex]\frac{37}{999}[/tex] = [tex]\frac{1}{27}[/tex] ← in simplest form
In ΔDEF, the measure of ∠F=90°, DF = 55, FE = 48, and ED = 73. What ratio represents the tangent of ∠D?
Answer:
[tex]\frac{48}{55}[/tex]
Step-by-step explanation:
In problems like this, it always helps to draw a picture.
-> See attached for the picture I drew (not to scale)
Now, the trigonometric function tangent can be found with opposite / adjacent
When looking at ∠D, the opposite side if 48 and the adjacent side is 55.
O / A = 48 / 55
Factor completely 625x8 − 1. (25x4 − 1)(25x4 1) (5x2 − 1)(5x2 1)(25x4 − 1) (5x2 − 1)(5x2 1)(5x2 1)(5x2 1) (5x2 − 1)(5x2 1)(25x4 1).
The complete factor of the polynomial 625x⁸ − 1 is (25x⁴ + 1)(25x⁴ − 1). Then the correct option is A.
What is polynomial?Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.
Factor completely 625x⁸ − 1.
We know that
[tex]\rm a^2 - b^2 = (a+b)(a-b)[/tex]
(25x⁴)² − 1²
(25x⁴ + 1)(25x⁴ − 1)
The complete factor of the polynomial 625x⁸ − 1 is (25x⁴ + 1)(25x⁴ − 1). Then the correct option is A.
More about the polynomial link is given below.
https://brainly.com/question/17822016
Answer:I agree it is the. Verified one
Step-by-step explanation:
Anyone know how to do this ????
There you go. Hope this helps.
Which graph could represent a car that begins by increasing its speed, then travels at a constant speed, and then
decreases its speed, as time increases?
Speed (miles per minute)
Time (minutes)
х
(miles per minute)
Answer:
The top one would be the answer
Do you know how to do this??? Please help and give answers
Answer:
Answers below
Step-by-step explanation:
1) 31
2) 1
3) 7
4) 23
5) 21
6) 11
7) 5
please hurry -no links
For which equation is x = 3 a solution?
Answer:
The answer is D.
Step-by-step explanation:
A could not be the answer beacuse 3 x 3 is 9. Add one more to that and you would get ten.
B could not be the answer because 4 x 3 is 12. Minus that by 2 ans you would get ten, not one.
C is not the answer either. 2 x 3 is 6. Minus that by one and you would get five, not three.
D is the right answer because 5 x 3 is 15. Add two to that and you would get 17.
As you can see, D is the right answer.
Ronald drank orange juice from a 500 ml bottle. He found that 2/5 was remaining. How much did he drink?
Answer:
200ml
Step-by-step explanation:
2/5 of 500ml
=2/5*500
=1000/5
=200ml
Why would you need to find the area of a shape?
Answer:
Calculating the area of a shape or surface can be useful in everyday life
Step-by-step explanation:
Answer:
Finding area of a shape helps you determine the space of an area. In the real world, you must learn area to be a house flipper.
Step-by-step explanation:
To find area...
l x w = area
please find the answer of question number c please fast
Answer:
a) = 1007
b) =403.75
Step-by-step explanation:
Selling price is the amount at which an article or product is sold. It is represented by SP. The formula of S.P. can be given in terms of Profit or Loss as- 1. If S.P. is greater than C.P. which is the cost price of the item then a profit is gained by the shopkeeper.
a)
[tex]cp = 950 \: gain \: = 6\% \\ 950 \times \frac{6}{100} \\ \frac{950}{1} \times \frac{6}{100} \\ \frac{5,700}{100} \\ = 57 \\ add \: 57 \: to \: the \: original \: price \\ = 950 + 57 \\ = 1,007[/tex]
b)
[tex]cp \: = 380 \: gain \: = 6 \frac{1}{4} \\ cp = 380 \: gain \: = 6.25 \\ 380 \times \frac{6.25}{100} \\ \frac{380}{1} \times \frac{6.25}{100} \\ \frac{2,375}{100} \\ = 23.75 \\ add \: 23.75 \: to \: 380 \\ = 23.75 + 380 \\ = 403.75[/tex]
if the height of a rectangular prism is decreased by a scale factor of 1/2 how will the volume of the prism change????????
Answer:
Decrease by half.
Step-by-step explanation:
Let's say the length, width, and height is x,y,z respectively.
V = xyz
Now, when z is decreased by half, we get xyz : 2 which can either be written as (xyz) : 2 or xy(z:2)
So in short, if the height decrease by half, the volume will decrease in half.
I am thinking of two numbers. The sum of the two is 10 and the difference is 2
Answer:
4 and 6
Step-by-step explanation:
First, let's find all the pairs that add up to 10.
1 + 9, 2 + 8, 3 + 7, 4 + 6, and 5 + 5Next, we find the difference between the addends for each pair.
9 - 1 = 88 - 2 = 67 - 3 = 46 - 4 = 25 - 5 = 0As you can, see the numbers that add to 10 and have a different of 2 is 4 and 6.
Nikki has four nail clients and each
appointment is 90 minutes. If she
starts at 9 a.m. and takes a 30-
minute lunch, what time will she
finish her clients?
Answer:
If you work over 5 hours in a day, you are entitled to a meal break of at least 30 minutes that must start before the end of the fifth hour of your shift.
Step-by-step explanation:
please help asap
I put a photo
Answer: try asking a parent or teacher
Step-by-step explanation: try asking a trusted adult or teacher to try to figure out how
HELP ASAP The mass of a radioactive substance follows a continuous exponential decay model. A sample of this radioactive substance has an initial mass of 4366 kg and decreases continuously at a relative rate of 4% per day. Find the mass of the sample after six days
Answer:
3318.2
Step-by-step explanation:
Since you first have to find out 4% of 4366 (174.64), then what you do is write an equation that states 4366-(174.64*6), then you get your answer :)
Johnny measured the wading pool at the Belleville Community Center and calculated that it has a circumference of 6.28 meters. What is the pool's diameter?
Answer: 1 Meter
Step-by-step explanation: The circumference is 6.28 meters. Replace C with 6.28 in the formula.
C = 2 × × r
6.28 ≈ 2 × 3.14 × r
6.28 ≈ 6.28 × r
6.28 ÷ 6.28 ≈ r
1 ≈ r
The radius is about 1 meter.
helpppp meeeee please
