Question

a gardner has a cylindrical planter that has a diameter of 16 inches and is 2 feet deep. What is the approximate number od cubic feet of potting soil that he will need to fill the planter.

Answer 1

Given a cylinder with a diameter of d and a height of h, the volume, V, is given by

`V=(\pi d^2h)/(4)`

In this case,

d = 16 inches, h = 2ft

1 foot = 12 inches

Therefore,

`d=(16)/(12)=(4)/(3)ft`

Therefore,

`V=(\pi((4)/(3))^22)/(4)=(\pi(4)(2))/(3^2)=(8\pi)/(9)\text{ cubic fe}et`

V=2.79 cubic feet

Therefore the approximate number is 2.79