Question

The total surface area of a cylinder of radius 5 cm is 660 cm^2. Find the height of the cylinder

Answer 1

R = 5cm
Total surface area = 660 cm sq.

i.e., 2*22/7*5(5+h) = 660
          5+h = 660*7/2*22*5 = 21cm
              h = 21-5 = 16 cm

Answer 2

Given,

The total surface area of a cylinder = 660 cm².

The radius of the cylinder = 5 cm.

To Find,

The height of the cylinder.

Solution,

The formula for calculating the total surface area of a cylinder is

T.S.A = 2πr(r+h)

where,

r is the radius of the cylinder and h is the height of the cylinder.

Now, it is given that

Total surface area = 660 cm sq.

So,

2*22/7*5(5+h) = 660

5+h = 660*7/2*22*5 = 21cm

h = 21-5 = 16 cm

Hence, the height of the cylinder is 16 cm.