Answer: \(Volume = 972\pi units^{3}\)
Explanation: To find the volume of a sphere, first start with the formula for the volume of a sphere.
Volume = \(\frac{4}{3} \pi r^{3}\)
The sphere has a radius of 9 units, so we can plug 9 into the formula.
\(Volume = (\frac{4}{3}) (\pi) (9units)^{3}\)
Now, let's simplify the exponent. Remember that 9³ is equal to 9 units x 9 units x 9 units or 729 units³.
\(Volume = (\frac{4}{3}) (729units^{3}) (\pi)\)
Notice that we can cross cancel 3 in \(\frac{4}{3}\) and 729 to 1 and 243.
\(Volume = (4) (243 units^{3}) (\pi)\)
\(Volume = 972\pi units^{3}\)
