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. How many solid spheres can be made out of it?
Answers
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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