A cylinder of radius 7 cm is surmounted completely by a cone of same radius. Height of cylinder is 6 cm. Find the height of cone if volume of entire shape 1078 cubic cm.
Volume of cylinder = πr2h Volume of cylinder = 1/3 × πr2h Total volume given = 1078 => πr2h + 1/3 × πr2h = 1078 => 22/7 × 49 × (6 + 1/3 × h) = 1078 => (6 + 1/3 × h) = 1078/154 => h = 3
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