Question

Find the volume of a cylinder with a radius of 5 cm and a height of 10 cm. Then, find the volume of the cylinder if the radius is increased to 10 cm. Leave your answers in term of pi.

Answer 1

Well pi times radius squared so 25* 3.14=78.5 * height so 78.5*10=785 is the answer for the first one so for the second take pi times radius squared so 100*3.14=314*10 = 3,140
1st answer 785cm squared
2nd answer 3,140cm squared

Answer 2

250π

1000π

Explanation:

(refer to attached)

volume of cylinder is given by:

V = π r²h,

where r = radius of base and h = height of cylinder

Given r = 5 and h = 10, hence

V = π r²h

V = π (5)²(10)

V = π (25) (10)

V = 250π (answer)

For the second case, r = 10 cm

V = π r²h

V = π (10)²(10)

V = π (100) (10)

V = 1000π (answer)