Question

How many solid cylinders of radius 3 cm and height 7
melting a solid sphere of radius 21 cm?​

Answer 1

${\underline{\underline{\huge{\mathfrak{\green{Answer:-}}}}}}$

Hey Mate!!

Volume of sphere = 4/3π$r^{3}$

$= > \frac{4}{3} \times \frac{22}{7} \times 21 \times 21 \times 21 \\ = > 4 \times 22 \times 3 \times 7 \times 21 = 38808$

Thus, volume if sphere is 38,808 cm^3.

Volume of cylinder = π$r^{2}$h

$= > \frac{22}{7} \times 3 \times 3 \times 7 \\ = > 22 \times 3 \times 3 \\ = > 218$

Thus, volume of cylinder is 218 cm^3.

Thus, no. of cylinders = Volume of sphere ÷ Volume of cylinder.

$= > \frac{38808}{218} = 178$

Thus, number of cylinders is 178.