Question

A cone with a height of 50 meters has a volume of 5400π meters cubed. What is the radius of the cone?

A.18 m
B.6 m
C.36 m
D.12 m

Answer 1

A

Explanation:

The volume of a cone has the formula:

`V=(1)/(3)\pi r^2 h`

Where

V is the volume

r is the radius

h is the height

Given,

h = 50

V = 5400π

We want the radius, r.

Lets substitute and solve for r:

`V=(1)/(3)\pi r^2 h\\5400\pi=(1)/(3)\pi r^2(50)\\5400\pi=(50\pi r^2)/(3)\\50\pi r^2=16200\pi\\r^2=324\\r=√(324)\\r=18`

The radius is 18 meters

Correct answer A