Math, asked by akshaya331, 11 months ago

The volume of a cylinder is 200 cubic cm. and its height is 10cm. Find the area of its base .

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Answers

Answered by duaaijaz

hey mate here is ur answer. i hope it help

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Answered by NeverMind11

MARIAANNAALWIN Expert

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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