surface area of sphere and cube are equal then find the ratio of their volumes
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Answer:
The surface area of a sphere, of radius r = 4(pi)r^2. Volume of the sphere = (4/3)(22/7)r^3 = 4.19047619 r^3. Hence the ratio of volumes of the cube to that of the sphere =3.032844003 r^3 : 4.19047619 r^3 or 1:1.38169856 say 1:1.38.
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Step-by-step explanation:
surface area of sphere is 4πr^2 and cube is 6a^2
4πr^2=6a^2
4×22/7×r^2=6a^2
r^2/a^2=6×7/22×1/4
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