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Marta_Voda [28]
3 years ago
15

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

Mathematics
2 answers:
liraira [26]3 years ago
6 0
24429.02 is the volume of a sphere with a radius of 18 units.
kupik [55]3 years ago
3 0

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 = \frac{4}{3} \pi r^{3}

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

Volume = (\frac{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 = (\frac{4}{3}) (5,832 units^{3}) (\pi)

Notice that we can cross cancel 3 in \frac{4}{3} and 5,832 to 1 and 1,944.

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

Volume = 7776\pi units^{3}

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