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W8 spheres are in the ratio 64:27. Find the difference of their surface areas, ifTME DOrGTNe uh Rthe sum of their radii is 7.19. The largest sphere is curved out of a cube of a side 7 cm. Find the volume of the sphere. |
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Answer» Given: The largest sphere is curved out of a cube of 7cm. ∴The length of the side of square= diameter of square ∴d=7cm =>r=7/2cmWe know that, volume of sphere= 4/3r³ = 4/3 x 22/7 x (7/2)³ = 4/3 x 22/7 x 7/2 x 7/2 x 7/2 = 4/3 x 22 x 1/2 x 7/2 x 7/2 = 2/3 x 22 x 7 x 7/2 = 2/3 x 22 x 7 x 7 = 2/3 x 22 x 49 = 2/3 x1078 = 2156/3 = 718.66cm^3 ∴ Volume of sphere = 718.67cm³ |
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