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5 votes
What is the volume of a sphere if the radius is 9?

2 Answers

5 votes
V=4/3pi r^3
Answer is 3053.63
User Dbrrt
by
8.0k points
4 votes

Answer:
Volume = 972\pi units^(3)

Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere.


Volume = (4)/(3) \pi r^(3)

Notice that our sphere has a radius of 9 units so we can plug 9 into our formula.


Volume = ((4)/(3))(\pi)(9 units)^(3)

Now, let's simplify the exponent. 9 units³ is equal to 9 units × 9 units × 9 units or 729 units³.


Volume = ((4)/(3)) (729 units^(3)) (\pi)

Notice that we can cross cancel
3 in
(4)/(3) and
729 to
1 and
243.


Volume = (4) (243units^(3)) (\pi)


Volume = 972\pi units^(3)

User Raj Subit
by
8.6k points

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