Question

5. The ratio of radii of two spheres is 2:3. Find the ratio of their surface areas and volumes.​

Answer 1

Answer:

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Surface Areas and Volumes

Volume of a Sphere

The ratio of radii of two s...

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Asked on December 26, 2019 by

Keerthana Gosalia

The ratio of radii of two spheres is 2 : 3. Find the ratio of their surface areas and volumes.

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ANSWER

Given the ratio of radii of two sphere is 2:3

Let the radius of two-sphere is 2r and 3r

Then the ratio of the surface area of two spheres =4π(2r)

2

:4π(3r)

2

⇒4:9

Then ratio of volume of two spheres=

3

4

π(2r)

3

:

3

4

π(3r)

3

⇒8:27

Answer 2

Answer:

Given the ratio of radii of two sphere is 2:3

Let the radius of two-sphere is 2r and 3r

Then the ratio of the surface area of two spheres =4π(2r)2 : 4π(3r)2

⇒4 : 9

Then ratio of volume of two spheres=

4/3π(2r)3 : 4/3π(3r)3

⇒8 : 27

Step-by-step explanation:

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