Q. 7

# <span lang="EN-US

base radius of cone= rc = 3 cm

Height of cone = h = 6 cm

Radius of sphere = rs = 9 cm

volume of cone = πrc2h

Volume of sphere = πrs3

Let n be the number of cones made

As the sphere is melted and then the cones are made from the same amount of melted sphere therefore the volume remains same

i.e. volume of n cones made = volume of sphere

n × πrc2h = πrs3

nrc2h = 4rs3

Substituting values

n × 32 × 6 = 4 × 93

n × 6 = 4 × 9 × 9

n = 6 × 9

n = 54

Number of cones formed = 54

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