Question

The volume of a cylinder is 980 in.. the height of the cylinder is 20 in. what is the radius of the cylinder? express your answer to the nearest hundredth.

a. 3.95 in.

b. 4.96 in.

c. 15.61 in.

d. 18 in.

Answer 1

a. 3.95 in.

Explanation:

The formula for the volume V of a cylinder is the product of the height h, the square of the radius r of the base circles and the constant Π which is equivalent to 3.14 or 22/7.

Therefore,

v = Πr^2h

Given

v = 980 , h = 20 r = ?

980 = 22/7 × r^2 × 20

r^2 = 980 × 7/(22 × 20)

r^2 = 15.59

r = 3.95