Question

A solid cube measuring 22 cm x 14 cm x 15 cm is melted and recasted in to a cone of radius 15 cm. Find the height of the cone so formed.

Answer 1

use

volume of cube(it should be cuboid)= volume of cone

lbh = 1/3 pie r^2h
22 × 14 ×15 × 7 / 22 ×15 ×15 = h

14 ×7 / 15 = h
98/ 15 cm

Answer 2

volume of cuboid =volume of cone

let the height be h cm.

15*14*22=1/3*22/7*15*15*h

h=14*7/5

h=98/5

h=19.20 cm

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