Mathematics
A solid cone of height 8 cm and base radius 6 cm is melted and recast into identical cones, each of height 2 cm and diameter 1 cm. Find the number of cones formed.
Mensuration
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Answer
For larger cone,
Height (h1) = 8 cm
Radius (r1) = 6 cm
For smaller cones,
Height (h2) = 2 cm
Radius (r2) = = 0.5 cm
Let no. of smaller cones be n.
Volume of larger cone = n × Volume of smaller cones
Hence, no. of cones formed = 576.
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