How many solid spherical balls each of diameter 1.5 cm can be made by melting a solid cylinder with height 36 cm and base radius 8 cm?
Answer & explanation
Correct answer: option 1
We know that,
Solid cylinder with height 36 cm and base radius 8 cm
Volume of the cylinder = πr2h = π(8)2(36) = π2304
The diameter of each spherical ball = 1.5 cm
Then radius = 1.5/2
So the volume of the spherical ball = \(\frac{4}{3}\) πr3 = \(\frac{4}{3}\) π(1.5/2)3 = π0.5625
Let the no. of spherical balls made = n
So, n × π0.5625 = π2304
n = 4096