Question

find the total surface area of a cylinder whose perimeter of the base is 85 metre and height 12 metre.​

Answer 1

Given: Perimeter of the base is 85 m, height 12 m.

To find: The total surface area of a cylinder.

Solution:

• As we have given the perimeter of the base of the cylinder, so we can find the radius of the circle.

• So perimeter of circle: 2πr

               2πr = 85 m

               r = 85 / (2 x 3.14)

               r = 13.53 m

• Now total surface area of the cylinder is 2πr (r+h).

• Putting the values in the formula we get:

              2 x 3.14 x 13.53 (13.53 + 12)

              84.9684 x 25.53

              2169.243252 m²

Answer:

            The total surface area of a cylinder is  2169.243252 m²