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The curved surface area of a cylinder is 1000 sq.cm and its radius is 10 cm. Is it true that its height is 19.25 cm?

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True

False

answer is B.

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Detailed Solution

Given, the curved surface area of a cylinder is 1000 sq.cm and its radius is 10 cm. Its height is 19.25 cm.
Given, the curved surface area of a cylinder is1000 sq.cm and its radius is 10 cm.
We know that the curved surface area of a cylinder is

2 πrh = 1000

2 π (10) h = 1000

h = \frac{1000}{2 π (10)} = 15.92 cm

Hence, the given statement is false and the correct option is 2.

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