Question

what is the volume of this sphere? round your answer to the nearest hundredth. 17 mm blank cubic millimeters submit

Explanation:

Step1: Recall the formula for the volume of a sphere

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

Step2: Identify the radius of the sphere

From the diagram, the radius \( r = 17\) mm.

Step3: Substitute the radius into the formula

Substitute \( r = 17 \) into the formula: \( V=\frac{4}{3}\pi(17)^{3} \).
First, calculate \( 17^{3}=17\times17\times17 = 4913 \).
Then, \( V=\frac{4}{3}\pi\times4913=\frac{19652}{3}\pi \).

Step4: Calculate the numerical value

Using \( \pi\approx3.14159 \), we have \( V=\frac{19652}{3}\times3.14159\approx\frac{19652\times3.14159}{3}\approx\frac{61737.08}{3}\approx20579.03 \) (rounded to the nearest hundredth).

Answer:

\( 20579.03 \)