Let the radius of the sphere and the cone be 'r' cm, and the slant height of the cone be 'l' cm. Total surface area of cone = πrl + πr2 Total surface area of sphere = 4πr2 ATQ; 2 X 4πr2 = πr(l + r) Or, 8r = l + r So, 7r = 'l' Volume of sphere = (4/3) πr3 ATQ; 2304π = (4/3) X π X r3 So, 1728 = r3 So, 'r' = 12 cm So, slant height cone = 7r = 7 x 12 = 84 cm
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