Question

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(image of a sphere with radius 6.4 cm)
round answer to 2 decimal places if needed.
surface area of sphere = 514.72 (checked) cm²
volume of sphere = 1097.50 (crossed out)
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Explanation:

Step1: Recall the formula for the volume of a sphere

The formula for the volume \( V \) of a sphere with radius \( r \) is \( V=\frac{4}{3}\pi r^{3} \).
Given that the radius \( r = 6.4\space\text{cm} \).

Step2: Substitute the radius into the formula

Substitute \( r = 6.4 \) into the formula:
\( V=\frac{4}{3}\pi(6.4)^{3} \)
First, calculate \( (6.4)^{3}=6.4\times6.4\times6.4 = 262.144 \)
Then, \( \frac{4}{3}\pi\times262.144=\frac{1048.576}{3}\pi\approx\frac{1048.576}{3}\times3.1416 \)
\( \frac{1048.576\times3.1416}{3}\approx\frac{3294.465}{3}\approx1098.155 \)
Rounding to two decimal places, we get \( V\approx1098.16 \)

Answer:

\( 1098.16 \)