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

Answer:

1440π squared mm.

Step-by-step 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

Answer:

1440π

Step-by-step 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.