Question

Given a right cylinder where h is the height and r is the radius what does the expression 2pirh represent?

A. Base area
B.Area
C.Lateral area
D.Volume

Answer 1

C. Lateral area.

Explanation:

We have been given that a right cylinder where h is the height and r is the radius. We are asked to determine the meaning of our given expression
`2\pi rh`.

We know that lateral surface area of cylinder is equal to the circumference of base of cylinder times the height of the cylinder.

We know that base of cylinder is circular and circumference of circle is
`2\pi r`, therefore, the expression
`2\pi rh` represents lateral area of cylinder.

Answer 2

C) Lateral Area

Explanation:

A) Base Area

The formula for base area of of a cylinder is pir^2.

B) Aread

The formula for surface area or area of a cylinder is 2pirh x 2pir^2 = 2pir (h + r)

C) Lateral Area

The formula for lateral area of a cylinder is 2pirh

D) Volume

The formula for volume of a cylinder is base area x h or pir^2h

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