Question

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

Answer 1

Answer:

x = 6.44 cm

Step-by-step 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 :

$V=\pi r^2 h\\\\r=\sqrt{\dfrac{V}{\pi h}} \\\\r=\sqrt{\dfrac{147\pi }{\pi \times 3.54}} \\\\r=6.44\ in$

or

r = 16.35 cm

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