Concept explainers
To calculate: The volume of a frustum of a cone.

Answer to Problem 21RP
The volume of a frustum of a cone is
Explanation of Solution
Given information:
Given frustum of a cone has upper base’s radius
Formula used:
Volume of frustum of a cone
where r = radius of upper base of the frustum of a cone
R = radius of lower base of the frustum of a cone
h = height of the frustum of a cone
Slant height of frustum of a cone
Calculation:
For calculating the volume of frustum of a cone we have the values for upper and lower base’s radius but the height of the frustum is not given.
So, let us calculate its height by using equation (ii) as slant height is given in the problem
Squaring both sides,
Taking square root of the terms
Substituting the given values
Now using the given values
Hence, the volume of the given frustum of a cone is
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