Chapter 12.4, Problem 29HP

To determine

To explain: “volume of rectangular based pyramid and cone having equal volume” is true or not?

Answer to Problem 29HP

Given statement is false.

Explanation of Solution

Given:

  

Given statement volume of rectangular based pyramid and cone having equal volume” is not true.

As the volume of rectangular based pyramid is

  $V=\frac{1}{3}BH$

volume of cone is

  $V=\frac{1}{3}\pi r^{2}h$

So one can easily get to know from the formula that volume of cone will be greater than the volume of rectangular based pyramid as the formula consisting squared radius so output will also be greater.

Conclusion:

Thus, given statement is false.