Question

a half - cylinder has diameter 35 cm and height 70 cm. determine the volume of the half - cylinder.
a) about 269392 cm³
b) about 33674 cm³
c) about 67348 cm³
d) about 134696 cm³

Explanation:

Step1: Find the radius

The diameter $d = 35$ cm, so the radius $r=\frac{d}{2}=\frac{35}{2}$ cm.

Step2: Recall the volume formula for a half - cylinder

The volume formula for a full cylinder is $V=\pi r^{2}h$. For a half - cylinder, $V_{half}=\frac{1}{2}\pi r^{2}h$.

Step3: Substitute the values of $r$ and $h$

We have $r = \frac{35}{2}$ cm and $h = 70$ cm. Substitute into the formula:

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Answer:

b) About 33 674 cm³