Question

Two spherical balls A and B are made of gold, and have radii 4 cm and 2 cm, respectively. What is the ratio of their volumes?​

Answer 1

Answer:2:1

Explanation:4cm:2cm

4/2:2/2

2:1

Answer 2

Answer:

The ratio of the Volumes of the balls A and B

is 8:1.

Explanation:

Concept: Volume of sphere=4/3πR^3

So the volume of sphere is directly proportional to the cube of the radius of sphere.

Given:

Radius of ball A (Ra) = 4 cm

Radius of ball B (Rb)= 2 cm

Find: Ratio of the volumes of the balls

Step by step explanation:

Volume of Ball A (Va) is proportional to(4)^3

Volume of Ball B (Vb) is proportional to (2)^3/

Va/Vb=(4)^3/(2)^3

Va/Vb= 64/8

Va/Vb= 8/1

So the ratio of the Volumes of the balls A and B

is 8:1.

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