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

Answer Link

Otras preguntas

Critical analysis involves analysis of: _____. Select all that apply.
The policy the United States adopted toward the Soviet Union was called "containment". Explain what this policy meant.
What term is used to describe a planned with a genotype of PP
After Alexander's death, Greece and Macedonia were ruled by _____.
start watching tv at 1:20. Stopped watching at 4:05. how long did she spend watching TV?
Describe events in the formation of an evaporite?
Which determines the state of matter for any material? A. the size of the atoms B. the hardness of the material C. the behavior of the molecules D. the we
why were the life and death of jesus important to his followers
If we wanted to compare muscular endurance between a very large person and a very small person, what method would be the BEST method to use?
Which one of the following is a correct example of the plural possessive case?