Question

21 spheres of equal radii are melted to form a cylinder of radius 14 cm and height 49 cm find the radius of sphere

Answer 1

Heyy!! I hopee thiss helpss..

Answer 2

The radius of sphere is 7 cm

Step-by-step explanation:

Let the radius of sphere be r

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

Volume of 21 spheres =$21 \times \frac{4}{3} \pi r^3$

Radius of cylinder = 14 cm

Height of cylinder = 49 cm

Volume of cylinder =$\pi r^2 h = \frac{22}{7} \times 14^2 \times 49$

21 spheres of equal radii are melted to form a cylinder

So, Volume remains same

$\frac{22}{7} \times 14^2 \times 49 = 21 \times \frac{4}{3} \times \frac{22}{7} r^3$

$\frac{14^2 \times 49 \times 3}{21 \times 4} = r^3$

$\sqrt[3]{\frac{14^2 \times 49 \times 3}{21 \times 4}}=r$

7=r

Hence  the radius of sphere is 7 cm

#Learn more:

A metallic sphere of radius 8.4 cm is melted and recast into the shape of a cylinder of radius 4 cm show that the height of the cylinder is 49 CM ​

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