The height of a right circular cone is multiplied by 3, but its radius remains fixed. By what factor will the volume of the cone be multiplied? A. 3 B. 9 C. 1/3 D. 1/9

A. 3

Explanation:

A cone is a three dimensional shape with a flat base and curved surface. A right circular cone is a cone where the axis of the cone is the line meeting the vertex to the midpoint of the circular base.

The volume of a right circular cone = πr²h/3; where r is the radius of the cone and h is the height of the cone.

Let us assume the cone has a height of h, and radius of r. Hence:

Volume (V₁) =  πr²h/3

If the radius remains fixed and the height is multiplied by 3. Hence:

V₂ = πr²(3h)/3 = πr²h = 3V₁

The volume would be multiplied by 3