Question

A metallic spherical shell has internal and external diameters as 40 cm and 30 cm, respectively. It is melted
and recast into a number of solid cones of base radius 5 cm and height 4 cm each. The number of cones
obtained is
165
190
185
200​

Answer 1

Answer:

the number of cones obtained is 185

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Answer 2

$volume \: of \: sphere \: = \frac{4}{3} \pi \: ( {r1}^{3} - {r2}^{3)} \\ \frac{4}{3} \times \frac{22}{7} \times ( {20}^{3} - {15}^{3} ) \\ 19380.952381 \\ = 19381(approx) \\ volume \:of \: cone \: = \frac{1}{3} \times \pi \times {r}^{2} \times h \\ \frac{1}{3} \times \frac{22}{7} \times 5 \times 5 \times 4 \\ = 104.76190 \\ = 105(approx) \\ \frac{19381}{105} \\ = 185$

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