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1. Volume of a sphere is 38808 cm3. Find the ratio of its volume to its surface area.
a) 7: 2
b) 21: 1
c) Cannot be determined
d) 7: 1
e) 21: 2
Sol:
Let the radius of the sphere = ‘r’ cm
So, (4/3) * (22/7) * r3 = 38808
r3 = 9261
r = 21 cm
The ratio of the volume of the sphere to its surface area:
[(4/3) * (22/7) * r3]: [4 * (22/7) * r2]
r: 3 = 21: 3 = 7: 1