originalsydneyg
originalsydneyg originalsydneyg
  • 01-04-2020
  • Mathematics
contestada

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

Respuesta :

TaeKwonDoIsDead
TaeKwonDoIsDead TaeKwonDoIsDead
  • 09-04-2020

Answer:

A

Step-by-step explanation:

The volume of a cone has the formula:

[tex]V=\frac{1}{3}\pi r^2 h[/tex]

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:

[tex]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[/tex]

The radius is 18 meters

Correct answer A

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