Question

The volume of a right circular cylinder is represented by V equals pi r squared H where are is the radius of the base in feet what is the radius of a right circular cylinder with a volume is 144 Pi cubic feet in the height is 9 ft

Answer 1

The radius of right circular cylinder is 4 feet

Solution:

Given that volume of a right circular cylinder is represented by:

`v = \pi r^2h`

Where, "r" is the radius of base in feet

And "h" is the height of cylinder

Given that volume is 144 Pi cubic feet

`v = 144 \pi`

height = 9 feet

To find: Radius of cylinder

Substitute the given values in formula,

`v = \pi r^2 (9)\\\\144 \pi = \pi r^2 (9)\\\\9r^2 = 144\\\\r^2 = (144)/(9)\\\\r^2 = 16\\\\\text{Take square root on both sides }\\\\r = √(16)\\\\r = \pm 4\\\\\text{Ignoring negative value , we get }\\\\r = 4`

Thus radius of right circular cylinder is 4 feet