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What is the volume of a sphere with a radius of 18 units?

User LucasF
by
5.1k points

2 Answers

1 vote

Answer:

7776 pi units 3

Explanation:

User OkyDokyman
by
5.5k points
5 votes

Answer:
7776

\pi units^(3)

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

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

Notice that our sphere has a radius of 18 units, so we can plug 18 into the formula.

Volume =
((4)/(3)\))\pi(18units^(3))

Now, let's start by simplifying the exponent.
18^(3) is equal to 18 units x 18 units x 18 units or 5,832 units³.

Volume =
((4)/(3)) (5,832 units^(3)) (\pi)

Notice that we can cross cancel 3 in
(4)/(3) and 5,832 to 1 and 1,944.

Volume =
(4) (1,944 units^(3))(\pi)

Volume =
7776
\pi units^(3)

User Tatjana Heuser
by
5.4k points