Question

Small spheres each of radius 2cm are made by melting a solid iron ball of radius 6cm then the total no of small spheres is

Answer 1

Answer:

Step-by-step explanation:

The detailed explanation is given below.

Answer 2

27 small spheres so formed .

Step-by-step explanation:

Radius of small sphere = 2 cm

Volume of sphere = $\frac{4}{3} \pi r^3 = \frac{4}{3} \times \frac{22}{7} \times 2^3$

Radius of iron ball = 6 cm

Volume of iron ball = $\frac{4}{3} \pi r^3 = \frac{4}{3} \times \frac{22}{7} \times 6^3$

We are given that Small spheres each of radius 2cm are made by melting a solid iron ball of radius 6cm

No. of spheres = $\frac{\text{Volume of iron ball}}{\text{Volume of small ball}}=\frac{\frac{4}{3} \times \frac{22}{7} \times 6^3}{\frac{4}{3} \times \frac{22}{7} \times 2^3}=27$

Hence 27 small spheres so formed .

#learn more:

The spherical ball radius 3 cm is melted and recast into 3 spherical balls. the radii of two of these balls are 1.5 and 2 cm. find the radius of the 3rd ball.

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