Question

find the number of solid sphere each of diameter 6 cm that can be made by melting a solid metal cylinder of height 45 cm and diameter 4 cm​

Answer 1

Height of the cylinder melt = 45 cm Diameter of the cylinder = 6 cm Radius = 3 cm Diameter of the sphere = 6 cm Radius = 3 cm Volume of the cylinder = 22/7 x 3 x 3 x 45 Volume of each sphere = 4/3 x 22/7 x 3 x 3 x 3 Let the number of spheres be 'n' Volume of all the spheres = Volume of the cylinder n x 4/3 x 22/7 x 3 x 3 x 3 = 22/7 x 3 x 3 x 45 n x 4/3 x 3 = 45 n = 45/4 n = 11 (approx.)

Answer 2

Answer: 5

Step-by-step explanation:

Let the no of solid sphere be x

Radius of sphere(r1)= 3cm

Volume of sphere= 4/3πr^3

Volume of sphere= 4/3πx3x3x3

=36π cm^3

Height of cylinder=45cm

Radius of cylinder= 4/2= 2cm

Volume of cylinder=πr^2h

Volume of cylinder,= πx2x2x45

= 180πcm^3

x= 180π/36π = 5