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Ugo [173]
2 years ago
10

There is a cylinder with a height of 8 units and a volume of 72 cubic units. What is the radius of the cylinder?

Mathematics
1 answer:
svp [43]2 years ago
7 0

Answer:

Radius of the cylinder = 1.69 units

Step-by-step explanation:

Volume of a cylinder is given by the expression,

Volume = Area of the circular base × Height of the cylinder

Area of the circular base = πr²

Here, r = Radius of the circular base

Volume of the cylinder = πr²h

By substituting the values given in the question,

72 = π(r)²8

r² = \frac{9}{\pi }

r² = 2.865

r = 1.692

r = 1.69 units

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(Think about how a cylinder is basically a bunch of circles stacked on top of each other. To find the volume, first you need the area of the circle (πr², then you multiply by how many circles you are stacking on top of each other (height)) 

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Now that we know the height of the cylinder is about 13 in., we know the height of the cone, because the problem says that the height of the cone is half the height of the cylinder. 
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3 years ago
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