Question

The formula for the volume of a cone is V = 1 3π푟푟 2 h, where V represents the volume, r represents the radius of the base, and h represents the height. What is the height of a cone with a volume of 110 cubic centimeters and a base with a radius of 5 centimeters? Round to the nearest whole number.

Answer 1

4 cm

Explanation:

The Volume of a Come formula =

πr²h/3 or 1/3 πr²h

We are asked to find the height of the cone

r= 5cm

Volume = 110 cm³

The formula for height of a cone =

3V/πr²

= 3 × 110/π × 5²

h = 4.20169 cm

Approximately to the nearest whole number = 4 cm