Question

a solid metal cone with radius of base 12 cm and height 24 cm is melted to form solid spherical balls of diameter 6 cm each find the number of balls thus formed

Answer 1

Hope it's help you to solve

Answer 2

Answer:

32

Step-by-step explanation:

Radius of cone = 12 cm

Height of cone = 24 cm

Volume of cone = $\frac{1}{3} \pi r^{2} h$

So, volume of given cone =  $\frac{1}{3} \pi (12)^{2}\times 24$

                                           =  $\frac{1}{3} \pi \times 144 \times 24$

                                           =  $1152 \pi$

Diameter of spherical ball = 6 cm

Radius = Diameter /2 = 6/2 = 3 cm

Volume of sphere = $\frac{4}{3}\pi r^{3}$

                              = $\frac{4}{3}\pi (3)^{3}$

                              = $36 \pi$

Number of spherical balls can be made from cone :

= $\frac{\text{Volume of cone}}{\text{volume of sphere}}$

= $\frac{1152 \pi}{36 \pi}$

= $32$

Hence the number of spherical balls can be made from cone  are 32