If the volume of the polyhedron is 147π in^3, the value of x is ___ cm.
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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 :
[tex]V=\pi r^2 h\\\\r=\sqrt{\dfrac{V}{\pi h}} \\\\r=\sqrt{\dfrac{147\pi }{\pi \times 3.54}} \\\\r=6.44\ in[/tex]
or
r = 16.35 cm
So, the value of x is equal to 6.44 cm.