Question

what is the volume of this sphere? round your answer to the nearest hundredth. 7.3 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 is \( V=\frac{4}{3}\pi r^{3} \), where \( r \) is the radius of the sphere.

Step2: Substitute the given radius into the formula

Given \( r = 7.3\) mm. Then \( V=\frac{4}{3}\pi(7.3)^{3}\). First, calculate \( (7.3)^{3}=7.3\times7.3\times7.3 = 389.017\).

Step3: Calculate the volume

\( V=\frac{4}{3}\times\pi\times389.017\). \( \frac{4}{3}\times389.017 = 518.6893\). Then \( V = 518.6893\times\pi\approx518.6893\times3.14159265\approx1629.74\) (rounded to the nearest hundredth).

Answer:

\(1629.74\)