Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the volume of this sphere. sphere formulas sa = 4πr² v = \\frac{4}…

Question

find the volume of this sphere. sphere formulas sa = 4πr² v = \frac{4}{3}πr³ v = \frac{?π}{3} ft³

Explanation:

Step1: Substitute the radius into the formula

Given the formula for the volume of a sphere \( V=\frac{4}{3}\pi r^{3}\), and \( r = 13\) ft.
We need to find \(4r^{3}\).
First, calculate \(r^{3}\): \(r^{3}=13\times13\times13 = 2197\).
Then, multiply by 4: \(4\times2197=8788\).

Answer:

\(\frac{8788\pi}{3}\) ft³