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

$V=\frac{\pi d^2h}{4}$

In this case,

d = 16 inches, h = 2ft

1 foot = 12 inches

Therefore,

$d=\frac{16}{12}=\frac{4}{3}ft$

Therefore,

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

V=2.79 cubic feet

Therefore the approximate number is 2.79