Question

A cylinder has a volume of

180.6 in3 and a diameter of 10 in.
Find the height to the nearest
tenth of an inch.

Answer 1

The height : 2.3 inch

Further explanation

Volume is a derivative quantity derived from the length

The unit of volume can be expressed in liters or milliliters or cubic meters

The volume of the cylinder can be formulated :

V = πr²h

A=area of the base = πr²

The diameter of a cylinder 10 in, so r = 5 in (d/2)

`\tt 180.6=\pi.5^2.h\\\\h=(180.6)/(\pi.25)=2.30`

the tenth = 3 and because the hundredths=0, it's 4 or less, so remove all the digits to the right, and the height = 2.3 inch