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Curved surface area of a right circular cylinder is 4.4 m^2. If the radius of the base of the cylinder is 0.7 m, find its height.

Q : 6     Curved surface area of a right circular cylinder is $\small 4.4\hspace{1mm}m^2$. If the radius of the base of the cylinder is $\small 0.7\hspace{1mm}m$, find its height.

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Given, a right circular cylinder

Curved surface area of the cylinder = $\small 4.4\hspace{1mm}m^2$

Radius of the base = $r = 0.7\ m$

Let the height of the cylinder be  $h$

We know,

Curved surface area of a cylinder of radius $r$ and height  $h$ = $2\pi r h$

$\therefore$  $2\pi r h = 4.4$

$\\ \Rightarrow 2\times\frac{22}{7}\times0.7 \times h = 4.4 \\ \\ \Rightarrow 44\times0.1 \times h = 4.4 \\ \Rightarrow h = 1\ m$

Therefore, the required height of the cylinder is $1\ m$

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