Chapter 12.3, Problem 30WE

To determine

To calculate: The volume and draw the diagram

Answer to Problem 30WE

The volume of the cone is $48.94$ $c{m}^3$

  

Explanation of Solution

Given information: Consider the given information,

The triangle is an equilateral triangle

Sides of the triangle = 6cm and it is rotated about an altitude

  $\pi \approx 3.14$

Formula used: Consider the given formula,

r = radius, h = height

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

Calculation : Consider the given information the formula is,

  $h=\sqrt{{(6)}^2-{(3)}^2}$

  $h=5.1cm$

The volume of cone = $\frac{1}{3}\pi \times {(3)}^2\times 5.1=48.94$ $c{m}^3$