InterviewSolution
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InterviewSolution
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Example 8: A cone of height 24 cm and radius of base 6 em is made up of mclay. A child reshapes it in the form of a sphere. Find the radius of the sphe |
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Answer» Height of cone=24Radius=6cmVol of cone = 1/3πr^2h = 1/3π*6^2*24 = 1/3π*36*24 = 288πcm^3Let the vol of sphere4/3π^3Vol of sphere = Vol of cone 4/3π^3 = 288π4/3^3 = 288r^3 = 288*3/4r^3 = 72*3r^3 = 8*9*3r^3 = (2*2*2*3*3*3)r = (2*2*2*3*3*3)1/3r = (2*2*2)1/3 * (3*3*3)1/3r = (2^3)1/3 * (3^3)1/3r = 2*3r = 6cm |
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