Question

Find the volume of arght cylinder whose heightis 6 inches and whose base hasa circumference of16 inches

Answer 1

the volume is

`\begin{gathered} V=\pi\cdot r^2\cdot h \\ \text{where r = radius and h = height} \end{gathered}`

to find the radius we use the measure of the circumference:

`\begin{gathered} C=2\pi\cdot r \\ 16\pi=2\pi\cdot r \\ (16\pi)/(2\pi)=(2\pi\cdot r)/(2\pi) \\ r=8 \end{gathered}`

the radius is 8 inches, so

`V=\pi\cdot(8)^2\cdot6=\pi\cdot64\cdot6=384\pi^{}`

answer: 384pi cubic inches