Question

A solid cone of height 8cm and base radius 6cm is melted and recast into identical cones, each of height 2 cm and diameter 1cm. Find the number of cones formed.

Answer 1

Step-by-step explanation:

equate the volumes of both the cones

$\frac{1}{3} \pi \: {r}^{2} h = \frac{1}{3} \pi {r}^{2} h$

1/3 and π will get cancelled

therefore ,

6×6×8=n×1/2×1/2×2

36×8=n/2

288×2=n

576=no. of cones