Question

a solid right circular cylinder is made with clay whose diameter is 4 cm and height is 48 cm.Reena wants to make number of spheres of diameter 4 cm. How many solid spheres can be made out of it?​

Answer 1

Answer: 18

Step-by-step explanation:

Cylinder

Diameter (d)= 4cm radius (r)= 2 cm

Height (h) = 48 cm

Sphere

Diameter = 4 cm

Radius (R) = 2cm

Let no of solid sphere formed = n

n = Volume of Cylinder/Volume of Sphere

n = πr²h/4/3 π R³

n = 3r²h/4R³ = 3(2)²(48)/4(2)³

n = (3)(48)/8

n = 18

Answer 2

Given : A solid right circular cylinder is made with clay whose diameter is 4 cm and height is 48 cm.

Reema wants to  make number of spheres of diameter 4 cm.

To Find : How many solid spheres can be made  

Solution:

Volume of cylinder = πr²h

r = radius of cylinder = Diameter/2 = 4/2  = 2 cm

h = Height of cylinder = 48 cm

Volume of cylinder =  π(2)²48

= 192π  cm²

spheres of diameter 4 cm

=> Radius = 4/2 = 2 cm

Volume of Sphere = (4/3)  πr³

=  (4/3)  π2³

= 32π/3

Number of Spheres  =  192π  /( 32π/3)

= 18

18 solid Spheres  can be made

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