Question

the volume of a cylinder is 200 cm cube. its height is 10 cm. find area of its base?

Answer 1

Answer:

Volume of the cylinder, V = 200 cu. cm

Height of the cylinder, h = 10 cm

We know that,

Volume of cylinder = π * r ^ 2 * h

200 = 22/7 * r ^ 2 * 10

200/10 * 7/22 = r ^ 2

r ^ 2 = 20 * 7/22

r ^ 2 = 10 * 7/11

r = √ ( 70 / 11 ) cm

Area of the base of the cylinder, A = π * r ^ 2

A = 22/7 * ( √70/11 ) ^ 2

A = 22/7 * 70/11

A = 2 * 10

Area of the base of the cylinder = 20 cm ^ 2