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The curved surface area of a cylinder is...

The curved surface area of a cylinder is `1320 c m^2` and its base had diameter 21cm. Find the height and the volume of the cylinder.

Text Solution

Verified by Experts

Given that
diameter = `21 cm`
so, radius =` 21/2cm`
The curved surface area of a cylinder = `1320cm^2`
`2πrh = 1320`
`2 × 22/7 × 21/2 × h = 1320`
`h = 1320 × 1/2 × 7/22 × 2/21`
`h = 20 cm`
the volume of the cylinder =` pir^2h`
`V = 22/7 × 21/2 × 21/2 × 20`
`V = 6930 cm^3`
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