Question

What's the lateral area of a right cylinder if the radius of the base is 12mm and the altitude of the cylinder is 5 times the base radius? Use the π key to calculate and round your answer to the nearest whole number.

Answer 1

1440π squared mm.

Explanation:

Given is the radius of base of cylinder, r = 12mm.

The altitude is five times the base radius, h = 5 times 12mm = 60mm.

The lateral area of the cylinder is the curved surface area of the cylinder.

The formula for curved surface area of cylinder is as follows:-

Curved Surface Area = Circumference of base x altitude of cylinder.

SA = 2πrh = 2π•12•60 = 1440π sq. mm.

Hence, Lateral area of cylinder is 1440π squared mm.

Answer 2

1440π

Explanation:

We are given the radius of the base of a right cylinder to be 12 mm and its altitude or height to be 5 times the base radius which is equal to (12 x 5) = 60 mm.

We know the formula for the lateral area of a right cylinder:

`A = 2\pi rh`

So putting in the given values with
`\pi` as it is to get:

`A=2\pi *12*60`

`A=2(720)\pi`

`A=1440\pi`

Therefore, the lateral area of this right cylinder is 1440π.