Question

a solid cylinder of radius 7 cm and height 14 cm is melted and recast into solid spheres each of radius 3.5 cm find the number of spheres formed

Answer 1

Number of spheres= 12,,,

Answer 2

Answer:

12

Step-by-step explanation:

Radius of cylinder = 7 cm

Height of cylinder = 14 cm

Volume of cylinder = $\pi r^{2} h$

                              = $3.14 \times (7)^{2} \times 14$  

                              = $2154.04$

Now radius of sphere = 3.5 cm

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

                               = $\frac{4}{3}\times 3.14 \times (3.5)^{3}$

                               = $179.503333333$

Number of spheres can be formed from cylinder = $\frac{2154.04}{179.503333333}$

                                                                                 = $12$

Hence 12 spheres can be formed .