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For a sphere with a radius of 3.5 cm, the volume and surface area will be, respectively:

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171cm3; 130cm2

164cm3; 159cm2

169.67 cm3; 154cm2

61.32cm3; 149cm2

answer is C.

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Detailed Solution

We are given a sphere with radius 3.5 cm.
We know that the sphere's surface area is equal to

4 π r 2,

where r is the sphere's radius.
Using the value of

r = 3.5 cm,

we can calculate and obtain the surface area as follows,

4 π r 2 = 4 π 3.5 2 cm 2 = 4 × 227 × 3.5 × 3.5 cm 2 = 4 × 227 × 3510 × 3510 cm 2 = 154 cm 2

Volume of a sphere =

43 π r 3,

where r is the radius.
Using the value of

r = 3.5 cm,

we can calculate and obtain the volume as follows,

43 π r 3 = 43 π 3.5 3 cm 3 = 43 × 227 × 3.5 × 3.5 × 3.5 cm 3 = 169.67 cm 3

Therefore, the sphere's volume and surface area will be

169.67 cm 3

and

154 cm 2

respectively.
Hence, option (3) is correct.

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