Question

The volume of a right circular cone is 45 cubic centimeters, and the radius of

the base is 3 centimeters. What is the height of the cone in centimeters?

Answer 1

5cm

Explanation:

Given parameters:

Volume = 45cm³

Radius = 3cm

Unknown:

Height of the cone = ?

Solution:

Volume of cone is given as ;

V =
`(1)/(3) \pi` r² h

r is the radius

h is the height

45 =
`(1)/(3) \pi`x 3² x h

45 = 3π x h

h =
`(45)/(3 x3.142)` = 4.77cm

5cm is the closest answer choice