Question

volume of a sphere (level 1)
score: 0/5 penalty: 1 off
question
what is the volume of a hemisphere with a diameter of 4.4 ft, rounded to the nearest tenth of a cubic foot?
answer attempt 1 out of 2
$\text{ft}^3$
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Explanation:

Step1: Find radius from diameter

Radius $r = \frac{4.4}{2} = 2.2$ ft

Step2: Use hemisphere volume formula

Volume formula: $V = \frac{2}{3}\pi r^3$
Substitute $r=2.2$:
$V = \frac{2}{3} \times \pi \times (2.2)^3$

Step3: Calculate $(2.2)^3$

$(2.2)^3 = 2.2 \times 2.2 \times 2.2 = 10.648$

Step4: Compute intermediate volume

$V = \frac{2}{3} \times \pi \times 10.648 \approx \frac{2}{3} \times 33.45$
$V \approx 22.3$

Answer:

$22.3$ ft³