Question

A sphere of radius 10cm is melted and and into a cone of height 10cm.find the diameter of cone

Answer 1

Volume of sphere= Volume of cone

4/3(π10³)=1/3{π r² 10}

✓400=r²

So..r=20

d=40

Answer 2

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A SPHERE WAS MELTED ....

A CONE WAS PRODUCED FROM IT ...

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from this conditional situation ,

volume of that cone = volume of the sphere

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$\bold{\frac{4}{3} \times \pi \times {r}^{3} = \frac{1}{3} \times \pi \times {r}^{2} \times h }\\ \\ \bold{\frac{4}{3} \times \pi \times {10}^{3} = \frac{1}{3} \times \pi \times {r}^{2} \times 10 }\\ \\ \bold{\frac{4}{3} \times {10}^{3} = \frac{1}{3} \times {r}^{2} \times 10 }\\ \\ \bold{{r}^{2} = \frac{4 \times 1000 \times 3}{3 \times 10} } \\ \\\bold{ {r}^{2} = \frac{4 \times 100 \times 3}{3} }\\ \\\bold{ {r}^{2} = 4 \times 100} \\ \\ \bold{{r}^{2} = 400 }\\ \\\bold{ r = \sqrt{400} }\\ \\\bold{ r = 20 \: cm \: }$

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$\\ \underline\bold{radius \: of \: that \: cone \: = \: 20 \: cm \: }$

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