N solid metallic spherical balls are melted and recast into a cylindrical rod whose radius is 5 times the radius of a spherical ball and height is 8 times the radius of a spherical ball. The value of N is:

Correct option is D

Given:
Let the radius of each spherical ball = r
Radius of the cylinder = 5r
Height of the cylinder = 8r
Formula Used:
As we know,
Volume of sphere = $$\frac 43$$​ πr³
Volume of cylinder = πr²h
Solution:
Let the radius of spherical balls be r cm.
Radius of cylindrical rod = 5r and height of cylindrical rod = 8r
According to the question
​$$N \times \frac{4}{3} \times \pi \times r^3 = \pi \times (5r)^2 \times 8r$$​​
=> N = $$\frac{25 \times 8 \times 3}{4} = 150$$​​