Question

The formula V = Bh, where B represents the area of the base, can be used to find the volume of a cylinder. Which formula is equivalent to V = Bh when finding the cylinder's volume?
A)
V = (l · w)


B)
V = (l · w · h)


C)
V = πr2h


D)
V = 2πr

Answer 1

ANSWER

C) V=πr²h

EXPLANATION

The formula for calculating the volume of a prism is

$V = Bh$

where B represents the area of the base and h represents the height of the prism.

A cylinder is a prism with a circular base.

Therefore area of the base is

$B = \pi \: {r}^{2}$

Therefore the volume of the cylinder is

$V = \pi \: {r}^{2} h$

The correct choice is C.