Question

tell me question no 3 plz it urgent

Answer 1

Diameter of sphere = 28 cm
Radius of sphere = 14 cm
Volume of sphere
$= \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \times \frac{22}{7} \times 14 \times 14 \times 14 \\ = ( \frac{88}{3} \times 2 \times 14 \times 14) \: {cm}^{3}$
Diameter of cone = 35 cm
Radius of cone
$= \frac{35}{2} \: cm$
Volume of cone
$= \frac{1}{3} \pi {r}^{2} h \\ = \frac{1}{3} \times \frac{22}{7} \times \frac{35}{2} \times \frac{35}{2} \times h \\ = (\frac{55}{3} \times \frac{35}{2} \times h) \: {cm}^{3}$
Volume of sphere = Volume of cone
$\frac{88}{3} \times 2 \times 14 \times 14 = \frac{55}{3} \times \frac{35}{2} \times h \\ h = \frac{88}{3} \times 2 \times 14 \times 14 \times \frac{3}{55} \times \frac{2}{35} \\ h = \frac{64 \times 14}{25} = \frac{896}{25} = 35.84 \: cm$
Height of cone = 35.84 cm

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