Question

How many balls, each of radius 1 cm, can be made from a solid sphere of lead of radius 8 cm?

Answer 1

Answer:

512 balls can be made of radius 1 cm each with a solid sphere of radius 8 cm.

Step-by-step explanation:

Solution↴

Given⤵️

• A solid sphere of radius, R = 8 cm
• A solid sphere of radius, R = 8 cmWith this sphere, we have to make spherical balls of radius r = 1 cm

➪ Let’s assume that the number of balls made as n

Then, we know that

Volume of the sphere = 4/3 πr³

The volume of the solid sphere = sum of the volumes of n spherical balls.

n x 4/3 πr³ = 4/3 πR³

n x 4/3 π(1)³ = 4/3 π(8)³

n = 8³ = 512

Therefore, 512 balls can be made of radius 1 cm each with a solid sphere of radius 8 cm.

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Answer 2

Answer:

Solution↴

Given⤵️

A solid sphere of radius, R = 8 cm

With this sphere, we have to make spherical balls of radius r = 1 cm

➪ Let’s assume that the number of balls made as n

Then, we know that

Volume of the sphere = 4/3 πr³

The volume of the solid sphere = sum of the volumes of n spherical balls.

n x 4/3 πr³ = 4/3 πR³

n x 4/3 π(1)³ = 4/3 π(8)³

n = 8³ = 512

Therefore, 512 balls can be made of radius 1 cm each with a solid sphere of radius 8 cm.

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