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The volume of a cylinder is 1296π cm^3 and it's height is 16 cm.The length of the cylinder's radius is ___ cm.

User Everzet
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1 Answer

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Recall that the volume of a cylinder is given by


V=\pi\cdot r^2\cdot h

Where r is the radius and h is the height of the cylinder.

For the given case, we are given

V = 1296π cm³

h = 16 cm

Let us substitute these values into the above formula and solve for the radius


\begin{gathered} V=\pi\cdot r^2\cdot h \\ 1296\pi=\pi\cdot r^2\cdot16 \\ (1296\pi)/(16\pi)=r^2 \\ (1296)/(16)=r^2 \\ 81=r^2 \\ √(81)=r \\ 9=r \\ r=9\: cm \end{gathered}

Therefore, the length of the cylinder's radius is 9 cm

User Pangi
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