Question

A solid metallic sphere of diameter 28 cm is melted and recast into a number of smaller cones, each of diameter 4×2/3cm and height 3cm. Find the number of cones so formed.
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Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

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$diametre \: of \: sphere = 28m$

$radius \: of \: sphere = \frac{28}{2} = 14cm$

volume of sphere=4/3πr^3

$= \frac{4}{3} \times \frac{22}{7} \times 14 \times 14 \\ volume \: of \: sphere = 11498.66 \: cu \: cm$

$diametre \: of \: cone = \frac{14}{3} cm$

$radius \: of \: cone = \frac{14}{2} \div 2$

$= \frac{7}{3}$

volume of cone =1/3πr^2h

$= \frac{1}{3} \times \frac{22}{7} \times \frac{7}{3} \times \frac{3}{3}$

$volume \: of \: cone = 17.11$

number of cones formed=11498.66/17.11

=672 cones