What expression represents the volume of the cone in cubic units

Question

asked Dec 2, 2021 223k views

2 Answers

Ain Tohvri · Answer 1 · 2021-12-06T22:15:30+0000

Answer:

$Volume=(2)/(3) \, \pi \,x^3$ which agrees with the first answer listed among your options

Explanation:

Volume of cone:
$(1)/(3) Base\,*\,height$

So in our case:

1) Base s a circle, of radius "x" then the surface of this is:
$Area = \pi \,r^2 =\pi\,x^2$

2) the cone's height is "2x"

Therefore the cone's volume is:
$Volume=(1)/(3) \pi x^2\,(2x)=(2)/(3) \, \pi \,x^3$