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Cerrena [4.2K]
3 years ago
11

The circumference of a cylinder is 20 inches and the volume is 600 cubic inches. Calculate the height.

Mathematics
1 answer:
kipiarov [429]3 years ago
7 0

Answer:

h = 18.88 inches

Step-by-step explanation:

Given that,

The circumference of a cylinder is 20 inches

The volume of the cylinder, V = 600 cubic inches

We need to find the height of the cylinder. We know that the volume of a cylinder is given by :

V=\pi r^2h

r is radius

We know that,

circumference = 2πr

r=\dfrac{C}{2\pi}\\\\r=\dfrac{20}{2\pi}\\\\r=3.18\ \text{inches}

So,

h=\dfrac{V}{\pi r^2}\\\\h=\dfrac{600}{\pi\times (3.18)^2}\\\\h=18.88\ \text{inches}

So, the height of the cylinder is 18.88 inches.

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