A container in shape of a cylinder can store 7 litres of water. If the curved surface area of the cylinder is $1000 c m^{2}$ . What is the height of the cylinder?

14.266 cm

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13.464 cm

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11.363 cm

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22. 336 cm

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Solution

The correct option is C 11.363 cm
Given, Volume of the cylinder $= π r^{2} h = 7 l i t e r s = 7000 c m^{3} (a s 1 l i t r e = 1000 c m^{3})$

Also, curved surface area of cylinder $= 2 π r h = 1000 c m^{2}$

Now, getting the ratio of volume and the curved surface area,

We~get, $π r^{2} h : 2 π r h = 7$
Thus, r = 14 cm.

So, height of the cylinder, h = Curved surface area of the cylinder $\div 2 π r$
$\Rightarrow h = 1000 \div 28 π$
$\Rightarrow h = 11.363 c m$

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A container in shape of a cylinder can store 7 litres of water. If the curved surface area of the cylinder is 1000 cm2. What is the height of the cylinder?

A container in shape of a cylinder can store 7 litres of water. If the curved surface area of the cylinder is $1000 c m^{2}$ . What is the height of the cylinder?