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  2. The curved surface of a 16 m deep cylinder is plastered with concrete at the rate of Rs 15 per m2. If the total cost of plastering the curved surface is Rs 5280, find the capacity of the cylinder.
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The curved surface of a 16 m deep cylinder is plastered with concrete at the rate of Rs 15 per m2. If the total cost of plastering the curved surface is Rs 5280, find the capacity of the cylinder.

Answers (1)
S safeer

The curved surface of the cylinder (CSA) is

=2\pi rh

Given the height h = 16m

Cost of plastering=15 per m2

The total area plastered=5280/15=352m2

Therefore

CSA=352m2

\\2\pi r\times16=352 \\\\r=\frac{352}{16\times2\times\frac{22}{7}}=\frac{7}{2}m

\\\text{the capacity of the cylinder=volume of the cylinder}=\pi r^2h\\\\\\=\frac{22}{7}\times(\frac{7}{2})^2\times16=22\times7\times4=616m^3

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