Question

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

Answer 1

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

⇒8:2

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Answer 2

Answer:

Let radius of two sphere be 2r and 3r.

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

=4:9

Then the ratio of the volume of two sphere = 4/3π(2r)cube :4/3π(3r)cube

= 8:27.

Step-by-step explanation:

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