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