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lana66690 [7]
3 years ago
15

Express the ratio AC/DF in simplest form

Mathematics
1 answer:
murzikaleks [220]3 years ago
5 0

Answer:

\frac{n}{28 \: cm}

Step-by-step explanation:

AC = n, DF = 28 cm

\huge \red{ \frac{AC}{DF} }=  \purple{ \frac{n}{28 \: cm}}  \\

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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.
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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:

  • brainly.com/question/12973601
  • brainly.com/question/13063819

#LearnwithBrainly

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