The volume V of a sphere is given by the formula:
V=34πr3
Substitute the radius r=27 cm into the formula:
V=34π(27)3=34π×8343
Simplifying:
V=3×84×343π=241372π=6343π
Approximating π≈3.14:
V≈6343×3.14=179.39cu cm
The exact answer is 3539 cu cm, which matches option (C).