3 years ago

Find the measure of the central angle below: 45°

Mathematics

1 answer:

Semenov [28]3 years ago

4 0

The central angle below is 1

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$\large\boxed{36\pi}$

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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