Question

calculate the volume of the sphere. round to the nearest hundredth if necessary. do not include units with your answer.

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 \( r = 70 \), we substitute into the formula: \( V=\frac{4}{3}\pi(70)^{3} \).
First, calculate \( 70^{3}=70\times70\times70 = 343000 \).
Then, \( V=\frac{4}{3}\pi\times343000=\frac{1372000}{3}\pi \).

Step3: Calculate the numerical value

Using \( \pi\approx3.14159 \), we have \( V=\frac{1372000}{3}\times3.14159\).
\( \frac{1372000\times3.14159}{3}=\frac{4319251.48}{3}\approx1439750.5 \).

Answer:

\(1439750.5\)