Question

A cone and cylinder are carved of two solid cubes of side $a$. Find the ratio of the volumes of the cone and cylinder.

• A. 10262.54cm³
• B. 17266.67cm³
• C. 15266.67cm³
• D. 12266.67cm³

Answer 1

The correct option is A

10262.54cm³

The diameter of the bases of the 2 solids carved out, will be equal to the side of the cube. The height of the solids will be equal to the side of the cube.

Volume of cylinder $=\pi {\left(\frac{a}{2}\right)}^2\left(a\right)$

Volume of cone $=\frac{1}{3}\pi {\left(\frac{a}{2}\right)}^2\left(a\right)$

Ratio of the volume of cone to cylinder is 1 : 3