The heights of two right circular cones are in the ratio 1: 5 and the perimeter of their bases are in the ratio 5 : 3. Find the ratio of their volumes.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 5: 9
Formula used
The volume of a cone = ⅓ 𝜋r2h cubic units,
where r is the radius of the circular base and h is the height of the cone.
Given that
The heights of two right circular cones are in the ratio 1: 5
The perimeter of their bases is in the ratio 5 : 3.
The ratio of their radius is also in the ratio 5 : 3.
Hence, the ratio of volume = (25 * 1)/( 9 * 5) = 5/9
= 5: 9