3 years ago

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Mathematics

1 answer:

Varvara68 [4.7K]3 years ago

4 0

Answer:

Step-by-step explanation:

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6 as a percent is 600%.

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Find the length of the missing side using the pythagorean theorem

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Answer:

Step-by-step explanation:

Pythagorean Theorem: a²+b²=c²

You can fill in the numbers you know: a²+4²=5²

(Hypotenuse must be side c)

Square those numbers and you have: a²+16=25

Subtract 16 from both sides: a²=9

Square root both sides and you get: a=3

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The volume of a sphere can be described by the following formula, where V = volume and r = radius of the sphere.

Anika [276]

Option C: $r = \sqrt[3]{\frac{3V}{4\pi} }$ is the right answer

Step-by-step explanation:

Given formula for volume of a sphere is:

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

We have to make r the subject of the formula

Multiplying equation by 3/4

$\frac{3}{4}V = \frac{4}{3} * \frac{3}{4} \pi r^3\\\frac{3}{4}V = \pi r^3$

Dividing both sides by pi

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

Taking cube root on both sides

$\sqrt[3]{\frac{3V}{4\pi} } = \sqrt[3]{r^3} \\ r = \sqrt[3]{\frac{3V}{4\pi} }$

Hence,

Option C: $r = \sqrt[3]{\frac{3V}{4\pi} }$ is the right answer

Keywords: Volume, Sphere

Learn more about volume at:

#LearnwithBrainly

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