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The height of a cone is twice the radius of its base. What expression represents the volume of the cone, in cubic units?

A)2/3πx^3
B) 4/3πx^2
C) 2πx^3
D) 4πx^3

The height of a cone is twice the radius of its base What expression represents the volume of the cone in cubic units A23πx3 B 43πx2 C 2πx3 D 4πx3 class=

Respuesta :

marcthemathtutor

Answer:

A

Step-by-step explanation:

The general formula for the volume of a right cone is as follows (also see attached):

V = (1/3) π r² h; where r = radius of base and h = height

In this case, it is given that r = x

also given :

height = 2 (base radius)

or

h = 2x.

Hence the formula becomes:

V = (1/3) π r² h

V = (1/3) π x² (2x)

V = (2/3) π x³  (answer A)

Ver imagen marcthemathtutor
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Yep I agree I think the answer is A