Answered

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

Sagot :

the volume is

[tex]\begin{gathered} V=\pi\cdot r^2\cdot h \\ \text{where r = radius and h = height} \end{gathered}[/tex]

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

[tex]\begin{gathered} C=2\pi\cdot r \\ 16\pi=2\pi\cdot r \\ \frac{16\pi}{2\pi}=\frac{2\pi\cdot r}{2\pi} \\ r=8 \end{gathered}[/tex]

the radius is 8 inches, so

[tex]V=\pi\cdot(8)^2\cdot6=\pi\cdot64\cdot6=384\pi^{}[/tex]

answer: 384pi cubic inches

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