The volume of sphere is [tex]\frac{1372}{3}\pi[/tex] feet cubed.
Step-by-step explanation:
Given,
Surface area of sphere = 196π square feet
Surface area of sphere = 4πr²
We will find radius of sphere.
[tex]4\pi r^2=196\pi[/tex]
Dividing both sides by 4π
[tex]\frac{4\pi r^2}{4\pi}=\frac{196\pi}{4\pi}\\\\r^2=49[/tex]
Taking square root on both sides
[tex]\sqrt{r^2}=\sqrt{49}\\r=7[/tex]
The radius is 7 feet.
Volume of sphere = [tex]\frac{4}{3}\pi r^3[/tex]
[tex]Volume=\frac{4}{3}\pi (7)^3\\\\Volume= \frac{4}{3}\pi *343\\\\Volume = \frac{1372}{3}\pi[/tex]
The volume of sphere is [tex]\frac{1372}{3}\pi[/tex] feet cubed.
Keywords: volume, surface area
Learn more about surface area at:
- brainly.com/question/101683
- brainly.com/question/103144
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