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Question Details

If the radius of a sphere is 2.1 cm, then the volume of sphere is equal to:

Options

A

38.088 cm3

B

36.808 cm3

C

38.808 cm3

D

36.088 cm3

Show Answer

Correct Answer :

Option C

38.808 cm3

Solution :

The correct answer is 38.808 cm3.

Given:
Radius of the sphere (r) = 2.1 cm

Formula:
The volume of a sphere is given by the formula:
V=43πr3

Step-by-step Calculation:
Substitute r=2.1 cm and π=227 into the volume formula:
V=43×227×(2.1)3
V=43×227×2.1×2.1×2.1
Since 3×7=21, dividing 2.1 by 21 gives 0.1:
V=4×22×0.1×2.1×2.1
V=88×0.1×4.41
V=8.8×4.41
V=38.808 cm3

Therefore, the volume of the sphere is 38.808 cm3.

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