A sphere of radius r has surface area A = 4πr2 and volume V = 4...

A sphere of radius r has surface area A = 4πr2 and volume V = 4 3 πr3. The radius of sphere 2 is triple the radius of sphere 1.

(a)What is the ratio of the areas, A2/A1?

(b) What is the ratio of the volumes, V2/V1?

Solutions

Expert Solution

Consider the sphere 1,

The radius of the sphere 1 is .

The surface area of the sphere 1 is,

The volume of the sphere 1 is,

Consider the sphere 2,

The radius of the sphere 2, is triple the radius of the sphere 1,

Ther surface area of the sphere 2 is,

The ratio of areas

The volume of the sphere 2 is ,

The ratio of the volumes,

genius_generous answered 1 year ago

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