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Oduvanchick [21]
3 years ago
7

The height of a cylinder is 13centimeters. The volume of the cylinder is 16,328 cubic centimeters. What is the radius of the cyl

inder? Use 22/7 or 3.14 for p.
Mathematics
2 answers:
RUDIKE [14]3 years ago
7 0

Answer: radius = 19.99 centimeters

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 22/7

From the information given,

Volume = 16328 cubic centimeters

Height = 13 centimeters

Therefore,

16328 = 22/7 × r² × 13

16328 = 40.857r²

Dividing the left hand side and the right hand side of the equation by 40.857, it becomes

r² = 16328/40.857 = 399.6378

Taking square root of the left hand side and the right hand side of the equation, it becomes

r = 19.99 centimeters

nikitadnepr [17]3 years ago
3 0

Answer:

radius - 19.99 centimeters

Step-by-step explanation:

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Equation at the end of step  1  :

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After solving \sqrt[5]{128x^8y^2} we get 2x\sqrt[5]{4}\sqrt[5]{x^3}\sqrt[5]{y^2}

Step-by-step explanation:

We need to solve \sqrt[5]{128x^8y^2}

Applying the rule: \sqrt[a]{xy}=\sqrt[a]{x}.\sqrt[a]{y}

\sqrt[5]{128x^8y^2}\\=\sqrt[5]{128}\sqrt[5]{x^8}\sqrt[5]{y^2}\\We\,\,know\,\,that\,\,128=2\times2\times2\times2\times2\times2\times2=2^7\,\,or\,\,2^5.2^2\\=\sqrt[5]{2^5.2^2}\sqrt[5]{x^5.x^3}\sqrt[5]{y^2}\\=(2^5)^{\frac{1}{5}}\sqrt[5]{2^2}\sqrt[5]{x^5}\sqrt[5]{x^3}\sqrt[5]{y^2}\\=2x\sqrt[5]{4}\sqrt[5]{x^3}\sqrt[5]{y^2}

So, After solving \sqrt[5]{128x^8y^2} we get 2x\sqrt[5]{4}\sqrt[5]{x^3}\sqrt[5]{y^2}

Keywords: Solving with Exponents

Learn more about Solving with Exponents at:

  • brainly.com/question/4934417
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  • brainly.com/question/13174255

#learnwithBrainly

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