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