Question

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

Answer 1

Answer:

A

Step-by-step explanation:

The volume of a cone has the formula:

$V=\frac{1}{3}\pi r^2 h$

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:

$V=\frac{1}{3}\pi r^2 h\\5400\pi=\frac{1}{3}\pi r^2(50)\\5400\pi=\frac{50\pi r^2}{3}\\50\pi r^2=16200\pi\\r^2=324\\r=\sqrt{324}\\r=18$

The radius is 18 meters

Correct answer A