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A cylinder has a base diameter of 20 meters and a height of 10 meters. What is its volume in cubic meters, to the nearest tenths place?
The volume of the cylinder is 314.159 cubic meters.
To find the volume of a cylinder, you can use the formula:
Volume = π * r^2 * h
Where:
- π is a constant approximately equal to 3.14159
- r is the radius of the base
- h is the height of the cylinder
Given that the diameter of the base is 20 meters, the radius (r) is half of that, so r = 20/2 = 10 meters.
The height (h) is given as 10 meters.
Substituting these values into the formula:
Volume = π * (10)^2 * 10
Volume ≈ 3.14159 * 100 * 10
Volume ≈ 314.159 cubic meters
Rounding to the nearest tenth:
Volume ≈ 314.2 cubic meters
How to Calculate the Volume of a Cylinder?
To calculate the volume of a cylinder, you can use the formula:
V = π * r^2 * h
Where:
- V is the volume of the cylinder
- π (pi) is a mathematical constant approximately equal to 3.14159
- r is the radius of the cylinder (distance from the center of the circular base to the edge)
- h is the height of the cylinder
Here’s a step-by-step guide to calculating the volume of a cylinder:
-
Measure the radius (r) of the cylinder. If the cylinder is perfectly circular, you can measure the distance from the center of the circular base to the edge.
-
Measure the height (h) of the cylinder. This is the perpendicular distance between the two circular bases.
-
Square the radius. To do this, multiply the radius (r) by itself: r^2.
-
Multiply the squared radius (r^2) by the height (h).
-
Multiply the result by π (pi), which is approximately 3.14159.
-
The final result is the volume (V) of the cylinder.
Here’s the formula again for reference:
V = π * r^2 * h
Now, plug in the values you’ve measured into this formula, and perform the calculations to find the volume of the cylinder.
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Source: Math Hello Kitty
Categories: Math
