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The volume of a cylinder is 1200 centimeter cube and the area of it's base is 150 centimeter square. Find the height of the cylinder

User Fsdf Fsd
by
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2 Answers

7 votes

Answer:

8.00cm

Explanation:

V=πr^2h

1200 = π * (√150/π)^2 * h

1200 = π * (√150/π)^2 * h

1200 = π * 150/π * h

1200 = 150 * h

h = 1200/150

h = 8

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User Ikolim
by
7.4k points
6 votes

Answer:

8 centimeters

Explanation:

To find the height (h) of a cylinder when you know its volume (V) and the area of its base (A), you can use the formula for the volume of a cylinder:

V = A * h

In this case, you are given:

Volume (V) = 1200 cm³

Area of the base (A) = 150 cm²

Now, you want to find the height (h). Rearrange the formula to solve for h:

h = V / A

Plug in the given values:

h = 1200 cm³ / 150 cm²

Now, perform the division:

h = 8 cm

So, the height of the cylinder is 8 centimeters.

User Ata Mohammadi
by
6.9k points