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A cylinder has a base radius of 6 centimeters and a height of 20 centimeters. What is its volume in cubic centimeters, to the nearest tenths place?
The volume of the cylinder is approximately 2260.8 cubic centimeters
To find the volume of a cylinder, you can use the formula:
Volume = π × radius^2 × height
Given:
- Radius (r) = 6 centimeters
- Height (h) = 20 centimeters
Substitute these values into the formula:
Volume = π × 6^2 × 20
Volume = π × 36 × 20
Volume = 720π
Now, approximate the value of π to the nearest tenths place, which is approximately 3.14:
Volume ≈ 720 × 3.14
Volume ≈ 2260.8 cubic centimeters
Rounded to the nearest tenth, the volume of the cylinder is approximately 2260.8 cubic centimeters.
How to Calculate the Volume of a Cylinder?
The volume of a cylinder can be calculated using the following formula:
V = πr²h
where:
- V is the volume of the cylinder (in cubic units)
- π (pi) is a mathematical constant approximately equal to 3.14159
- r is the radius of the cylinder’s base (in units)
- h is the height of the cylinder (in units)
Here’s a step-by-step guide on how to calculate the volume of a cylinder:
- Measure the radius (r) and height (h) of the cylinder. Make sure you are using the same units for both measurements. For example, if you measure the radius in centimeters, you should also measure the height in centimeters.
- Substitute the values of r and h into the formula.
- Evaluate the expression. You can use a calculator to evaluate the expression and get the final answer.
Here’s an example:
Imagine you have a cylinder with a radius of 5 cm and a height of 10 cm.
Following the steps above:
- r = 5 cm and h = 10 cm
- V = πr²h = π * (5 cm)² * (10 cm)
- V ≈ 785.4 cm³
Therefore, the volume of the cylinder is approximately 785.4 cubic centimeters.
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Source: Math Hello Kitty
Categories: Math
