Question

Solid sphere of radius 10.5 cm is melted and recast in 3.5 cm and height 3 cm. How many cones will be made or

Answer 1

$volume \: of \: sphere \: = \frac{4}{3} \pi {r}^{3}$

$volume \: of \: cone \: = \frac{1}{3} \pi {r}^{2} h$

$no \: of \: cones \: = \frac{volume \: of \: sphere}{volume \: of \: cone} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \frac{4}{3}\pi \times 10.5 \times 10.5 \times 10.5 }{ \frac{1}{3}\pi \times 3.5 \times 3.5 \times 3 } \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 4 \times 3 \times 3 \times 3 = 108$