Cylinders

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What is the volume of a cylinder with a diameter of cm and a height of cm?

$387.5 \pi$

$155\pi$

$300\pi$

$181.25\pi$

Step 1: Find the diameter.

If we are given the diameter, the length of the radius is one-half the diameter.

So, the radius is $\dfrac {1}{2}\times 10=5$

Step 2: Recall the volume formula...

Volume formula of cylinder is $\pi r^2 h$ .

$V=\pi (5)^2(15.5)\rightarrow \pi(25)(15.5)\implies 387.5 \pi$