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True [87]
3 years ago
7

Find the volume of the sphere. express your answer in term of Pie​

Mathematics
1 answer:
IceJOKER [234]3 years ago
3 0

Answer:

\large\boxed{36\pi}

Step-by-step explanation:

The formula of a volume of a sphere:

V=\dfrac{4}{3}\pi R^3

R - radius

We have R = 3 ?. Substitute

V=\dfrac{4}{3}\pi(3^3)=\dfrac{4}{3}\pi(27)=(4)\pi(9)=36\pi

If the radius is 30, then the volume is:

V=\dfrac{4}{3}\pi(30^3)=\dfrac{4}{3}\pi(27,000)=(4)\pi(9,000)=36,000\pi

If 30 is the length of diameter, then the radius R = 30 : 2 = 15.

Therefore the volume:

V=\dfrac{4}{3}\pi(15^3)=\dfrac{4}{3}\pi(3,375)=(4)\pi(1,125)=4,500\pi

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