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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. The 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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