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

The radius of the cylinder(r) = 7 cm.
Height of the cylinder = 14 cm.
Radius of the sphere (R) = 3.5 cm.
Let the no. of spheres be n
According to question, we get;
n = Volume of cylinder / Volume of sphere
=> n = pi*r*r*h / 4/3*pi*R*R*R
=> n = 7*7*14*3 / 4*3.5*3.5*3.5
=> n = 2*2*4*3 / 4
=> n = 12
Hence, The total number of spheres is 12.

Answer 2

Answer:

Step-by-step explanation:

he radius of the cylinder(r) = 7 cm.

Height of the cylinder = 14 cm.

Radius of the sphere (R) = 3.5 cm.

Let the no. of spheres be n

According to question, we get;

n = Volume of cylinder / Volume of sphere

=> n = pi*r*r*h / 4/3*pi*R*R*R

=> n = 7*7*14*3 / 4*3.5*3.5*3.5

=> n = 2*2*4*3 / 4

=> n = 12

Hence, The total number of spheres is 12.