Curved surface area of a cylinder is $880\ m^2$, whose height is $10\ m$. Find volume of cylinder. $( use\ \pi=\frac{22}{7})$.

Given: Curved surface area of a cylinder is $880\ m^2$, whose height is $10\ m$.

Curved surface area of the cylinder$=880\ m^2$

As known, curved surface area of the cylinder$=2\pi rh$

$\Rightarrow 2\pi rh=880$

$\Rightarrow 2\times\frac{22}{7}\times r\times10=880$

$\Rightarrow r=\frac{880\times7}{22\times2\times10}$

$\Rightarrow r=14\ m$

Therefore, volume of the cylinder$=\pi r^2 h$

$=\frac{22}{7}\times14\times14\times10$

$=6160\ m^3$

Thus, the volume of the cylinder is $6160\ m^3$.

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Updated on: 10-Oct-2022

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