Question

URGENT!!!

Answer should be 192 cones

A sphere of radius 12 cm is melted and cones of radius 3 cm and height 4 cm are formed. How many such cones can be formed ?​

Answer 1

volume of sphere=4/3πr^3

radius=12

4/3π(12)^3

4/3π1728

4×π×576

2304π

volume of cone=πr2h/3

r=3

h=4

π(3)^2×4/3

π36/3

π12

number of cone=2304π/12π

=2304/12

=192

Answer 2

Volume of sphere = 4/3 π r^3

= 4/3 π (12)^3

Volume of cone = 1/3 π r^2 x 4

= 1/3 π (3)^2 x 4

No. of cones

= Volume of sphere ÷ Volume of cone

= 4/3 π x 12 x 12 x 12 ÷ 1/3 π x 9 x 4

= 4 x 48

= 192 cones