Question

A solid circular cone of height 15 cm and radius 6 cm is melted and recast into smaller

cones of height 3 cm and radius 2 cm. How many such smaller cones can be made​

Answer 1

Answer:

Answer

Radius = 15 cm [sphere]

cone ⇒ r= 2.5 cm h=8 cm

No. of cones =

Volumeof1cone

Volumeofsphere

=

3

1

π(2.5)

2

(8)

3

4

π(15)

3

=

(2.5)

2

8

4(15)

3

=270cones

Answer 2

Answer: 5

Step-by-step explanation-

No. of cones =

Volume of original cone / Volume of smaller cone

= 1/3πR²H÷1/3πr²h

= 6²×15/2²×3

= 5