Question

question
what is the volume of a hemisphere with a radius of 3 cm, rounded to the nearest tenth of a cubic centimeter?
answer attempt 1 out of 2
$\boldsymbol{cm^3}$
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Explanation:

Step1: Recall hemisphere volume formula

The volume $V$ of a hemisphere is half the volume of a full sphere, so the formula is $V = \frac{2}{3}\pi r^3$.

Step2: Substitute radius $r=3$ cm

$$V = \frac{2}{3}\pi (3)^3$$
Calculate $(3)^3=27$, so:
$$V = \frac{2}{3}\pi \times 27 = 18\pi$$

Step3: Compute numerical value and round

Using $\pi \approx 3.1416$, we get $18 \times 3.1416 \approx 56.5488$. Rounding to the nearest tenth gives $56.5$.

Answer:

$56.5$ cm³