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o-na [289]
2 years ago
14

What is the volume of a sphere with a radius of 21 units?

Mathematics
2 answers:
Inessa [10]2 years ago
4 0

Answer: B: 12,348π units³ which is 38,772.72 units³

Step-by-step explanation:

The formula of the volume of a sphere is V = \frac{4}{3}πr³

Since we know that the radius is 21, we can fill in the given numbers:

V =  \frac{4}{3}π(21)³

Now, the new formula is V =  \frac{4}{3}π(9,261) = 38,772.72

Crank2 years ago
3 0

Answer:

B

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = \frac{4}{3}πr³ ( r is the radius ), thus

V = \frac{4}{3}π × 21³

   = \frac{4}{3}π ×9261 = \frac{4(9261)}{3}π = 12348π units³ → B

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Answer:

=13.73 ft²

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Step-by-step explanation:

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Find the two small as possible solutions ​
solong [7]

Answer:  \bold{b)\quad \dfrac{5}{6},\ \dfrac{25}{6}}

<u>Step-by-step explanation:</u>

12cos\bigg(\dfrac{2\pi}{5}x\bigg)+10=16\\\\\\12cos\bigg(\dfrac{2\pi}{5}x\bigg)=6\\\\\\cos\bigg(\dfrac{2\pi}{5}x\bigg)=\dfrac{1}{2}\\\\\\cos^{-1}\bigg[cos\bigg(\dfrac{2\pi}{5}x\bigg)\bigg]=cos^{-1}\bigg(\dfrac{1}{2}\bigg)

\text{Use the Unit Circle to determine when}\ cos=\dfrac{1}{2}\quad \rightarrow \quad\text{at}\ \dfrac{\pi}{3}\ and \ \dfrac{5\pi}{3}\\\\\\\dfrac{2\pi}{5}x=\dfrac{\pi}{3}\qquad and\qquad \dfrac{2\pi}{5}x=\dfrac{5\pi}{3}\\\\\\\bigg(\dfrac{5}{2\pi}\bigg)\dfrac{2\pi}{5}x=\dfrac{\pi}{3}\bigg(\dfrac{5}{2\pi}\bigg)\quad and\quad \bigg(\dfrac{5}{2\pi}\bigg)\dfrac{2\pi}{5}x=\dfrac{5\pi}{3}\bigg(\dfrac{5}{2\pi}\bigg)\\\\\\.\qquad \qquad \large\boxed{x=\dfrac{5}{6}\qquad and \qquad x=\dfrac{25}{6}}

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2 years ago
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