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

Step-by-step 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.