Question

question
what is the volume of a sphere with a diameter of 9.6 m, rounded to the nearest tenth of a cubic meter?
answer attempt 1 out of 2
$\text{m}^3$
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Explanation:

Step1: Find radius from diameter

Radius $r = \frac{9.6}{2} = 4.8$ m

Step2: Apply sphere volume formula

Volume formula: $V = \frac{4}{3}\pi r^3$
Substitute $r=4.8$:
$V = \frac{4}{3}\pi (4.8)^3$

Step3: Calculate the value

First compute $(4.8)^3 = 4.8 \times 4.8 \times 4.8 = 110.592$
Then $V = \frac{4}{3} \times \pi \times 110.592 \approx \frac{4}{3} \times 347.345 = 463.127$

Step4: Round to nearest tenth

Round 463.127 to 463.1

Answer:

$463.1$ m³