If the radius of a right circular cone is increased by 50%, its volume increases by ______.

A. 75%
B. 100%
C. 125%
D. 2...

Question

If the radius of a right circular cone is increased by 50%, its volume increases by ______.

A. 75%
B. 100%
C. 125%
D. 237.5%

Accepted Answer

125% increase (option C) The volume of a cone is V = (1/3)*pi*r^2*h. When the radius increases by 50% (becomes 1.5r) and height h stays unchanged, the new volume is (1/3)*pi*(1.5r)^2*h = 2.25*(1/3)*pi*r^2*h = 2.25V. The volume increases by a factor of 2.25, which is a 125% increase over the original V.

If the radius of a right circular cone is increased by 50%, its volume increases by ______. A. 75% B. 100% C. 125% D. 237.5%