Question

If the volume of the polyhedron is 147π in^3, the value of x is ___ cm.

Answer 1

x = 6.44 cm

Explanation:

Given that,

Volume, V = 147π in³

Height, h = 9 cm = 3.54 in

We need to find the value of x. The formula of this polyhedron is given by :

`V=\pi r^2 h\\\\r=\sqrt{(V)/(\pi h)} \\\\r=\sqrt{(147\pi )/(\pi * 3.54)} \\\\r=6.44\ in`

or

r = 16.35 cm

So, the value of x is equal to 6.44 cm.