If the cube of a sphere is 38808 cubic cm, find the curved surface of that sphere. (π = 22/7)
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Answer:
Volume of sphere = 4/3 pi. r^3
38808 = 4/3 x 22/7 x r^3
11 x 3528 = 4/3 x 22/7 x r^3
3528 =4/3 x 2/7 x r^3
4 x 882 = 4/3 x 2/7 x r^3
882 = 2/21 x r^3
r^3 = 882 x 21 /2 = 441 x 21
= 21 x 21 x 21
hence ,
r = 21 cm
now,
surface area = 4 pi. r^2
= 4 x 22/7 x 21 x 21
= 4 x 22 x 3 x21...
Hope it helps u
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= 88 x 63 =5544 cm^2
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