Question

the volume of a cylinder is 200 cubic cm and its height is 10 cm find the area of the its base​

Answer 1

hello

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