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What is the volume of a cylinder, in cubic inches, with a height of 2 inches and a base diameter of 4 inches? Round to the nearest tenths place
The volume of the cylinder is approximately 25.1 cubic inches.
To calculate the volume of a cylinder, you can use the formula:
Volume = π * r^2 * h
Where:
- π (pi) is a constant approximately equal to 3.14159
- r is the radius of the base of the cylinder
- h is the height of the cylinder
Given that the diameter is 4 inches, the radius (r) would be half of that, which is 2 inches.
Let’s plug in the values:
Volume = π * (2 inches)^2 * 2 inches
Volume = π * 4 square inches * 2 inches
Volume = π * 8 cubic inches
Now, let’s approximate π to 3.14:
Volume ≈ 3.14 * 8 cubic inches
Volume ≈ 25.12 cubic inches
Rounding to the nearest tenths place:
Volume ≈ 25.1 cubic inches
So, the volume of the cylinder is approximately 25.1 cubic inches.
How to Calculate the Volume of a Cylinder?
To calculate the volume of a cylinder, you need to know its height (h) and the radius of its base (r). The formula to calculate the volume of a cylinder is:
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V = π * r^2 * h
Where:
- V is the volume of the cylinder.
- π is a mathematical constant approximately equal to 3.14159.
- r is the radius of the base of the cylinder.
- h is the height of the cylinder.
Here’s how to calculate the volume of a cylinder step by step:
-
Measure the radius (r) of the circular base of the cylinder. If you have the diameter (d), you can divide it by 2 to get the radius (r).
-
Measure the height (h) of the cylinder.
-
Plug the values of the radius (r) and height (h) into the formula V = π * r^2 * h.
-
Perform the calculations. Square the radius, multiply by the height, and then multiply by π to get the volume (V).
-
Make sure to include appropriate units in your final answer. The units for volume are typically cubic units, such as cubic centimeters (cm³) or cubic meters (m³), depending on the units used for radius and height.
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Source: Math Hello Kitty
Categories: Math
