Question

The volume, V, of the right circular cone with radius r and height h, shown below, can be found using the formula V = one-thirdpi r2h. A cone-shaped paper cup has a volume of 142 cubic centimeters and a height of 8.5 centimeters. What is the radius, to the nearest centimeter, of the paper cup?

Answer 1

V= 1/3π*r^2*h
⇒ 142 cm^(2)= 1/3π*r^(2)*(8.5 cm)
⇒ ...
⇒ r= 3.994.

Rounded to the nearest centimeter, the final answer is 4 cm.

Hope this helps~