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Question

The volume of a cylinder is $$550{cm}^{3}$$. If its radius is $$5cm$$, then its height is ................ $$cm$$.


A
12
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B
9
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C
7
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D
14
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Solution

The correct option is D $$7$$
Given : Volume of a cylinder $$=550\ cm^3$$
We know that, Volume of a cylinder $$=\pi { r }^{ 2 }h$$
$$\implies 550=\cfrac { 22 }{ 7 } \times 5\times 5\times h$$
$$\implies h=\cfrac { 550\times 7 }{ 22\times 25 } =7\ cm$$
Hence, height of the cylinder is $$7\ cm$$

Mathematics

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