two cone have same volume and their base radic are in the ratio 4:5 find ratio of height
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∵ the ratio of the radius of the cones is 4:5
∴ let the radius be 4x and 5x
let the heights be H & h
∵ the volumes are equal
∴ 22/7×(4x)²×H/3 = 22/7×(5x)²×h/3
or, 16x²×H = 25x²×h
∴H/h = 25x²/16x²
= 25/16 = 25:16
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