A solid cube of side $7 c m$ is melted to make a cone of height $5 c m$ , find the radius of the base of the cone.

8.09 c m

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4.89 c m

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6.14 c m

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7.54 c m

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Solution

The correct option is A $8.09 c m$
Given, Side of cube $= 7 c m$
and height of cone $= 9 c m$ .

Let the radius of base of cone be $b$ cm.

Now, volume of cube $=$ volume of cone
${(7)}^{3} = \frac{1}{3} \times \frac{22}{7} \times r^{2} \times 5 r^{2} = \frac{343 \times 3 \times 7}{110} 65.48 r = \sqrt{65.48} = 8.09 c m$ .

Therefore, option $A$ is correct.

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