Chapter 12.3, Problem 33WE

To determine

To calculate: The volume of the cone

Answer to Problem 33WE

The volume of the cone is 150.72 $c{m}^3$

Explanation of Solution

Given information: Consider the given information,

Edge of pyramid = 4cm

Height of the cone = 6cm

  $\pi \approx 3.14$

Formula used: Consider the given formula,

r = radius, h = height

edge of pyramid = $r\sqrt{2}$

Volume = $\frac{1}{3}\pi r^{2}h$

Calculation : Consider the given information the formula is,

  $a=r\sqrt{2}$

  $4=r\sqrt{2}$

  $r=2\sqrt{2}$

Therefore, the volume of cone = $\frac{1}{3}\pi \times {(2\sqrt{2})}^2\times 6=150.72$ $c{m}^3$