Question

A cylindrical glass of water is 6 inches tall and holds a volume of 60 inches3 of water. To the nearest tenth of an inch, what is the radius of the glass?

Answer 1

Given data:

The given height of the galss water is h=6 inches.

The given volume is V= 60 cubic-inches.

The expression for the volume of the cylinder is,

`V=\pi(r)^2h`

Substitute the given values in the above expression.

`\begin{gathered} 60in^3=\pi(r)^26\text{ in} \\ r^2=(10)/(\pi)in^2 \\ r=1.78\text{ in} \end{gathered}`

Thus, the radius of the water-glass is 1.78 in.