If a sphere and a cube have same volume, then the ratio of the surface of the sphere to that of cube is
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We know that,
Volume of sphere is (4/3)π (r sq), where r is radius. And surface area is 4π(r sq)
Volume of cube is l cube, where l is length of its side. And its surface area is 6(a sq)
They have told the volumes are equal. We will equate it, to find out the ratio between surface area..
(4/3) π (r sq) = l cube
4π(r sq) = 3 ( l cube)
2 * 4π(r sq) = 6 (l sq) * l
∴The surface area of sphere to the cube is in 4:l ratio, where l is the length of the side of the cube.
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Answer:
the answer is cub root of pie :
cube root os 6
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