Question

The radii of two spheres are in the ratio 1: 2. Find the ratio of their volumes.​

Answer 1

Answer:

1:8

Step-by-step explanation:

volume of sphere = 4/3πr³

x : 2x

4/3πx³ : 4/3π(2x)³

4/3πx³ : 32/3πx³

1:8

Answer 2

Answer:

GIVEN:

ratio of radii of 2 spheres = 1:2

TO FIND:

ratio of volumes of the two spheres

SOLUTION:

let the radius be x

therefore the ratio of radii will be x:2x

volume of sphere = 4/3(3.14×r^3)

volume of sphere with radius x =4/3(3.14×x^3)

volume of sphere wih radius 2x = 4/3[3.14×(2x)^3]

ratio of volumes of two spheres = volume of sphere with radius x/ volume of sphere with radius 2x

ratio of volumes = x^3/8x^3

= 1:8

FORMULA USED:

volume of sphere = 4/3(3.14×r^3)

where r is radius of the sphere

ANSWER:

ratio of volumes of two spheres is 1:8