Comparing Volumes of Cylinders: Is a Larger Radius or Height More Important?

In summary, the formula for finding the volume of a cylinder is V = πr²h, where V is the volume, π is a constant (approximately 3.14), r is the radius of the circular base, and h is the height of the cylinder. The radius of a cylinder can be found by measuring the distance from the center of the circular base to the edge of the base. This formula can be used for any cylinder as long as the radius and height are known. The unit of measurement for volume can vary but is typically expressed in cubic units. If the height is not given, the volume cannot be accurately calculated and the height must be obtained through other means.
  • #1
bobsmith76
336
0
which is greater or are they equal: one cylinder with 2 radius and height 10, or one with 1 radius and height 20

I thought they would be equal because the first one is

4pi * 10 = 40pi

and the second is

2pi * 20 = 40pi

But my book says the first is greater. don't understand why
 
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  • #2
Start again. What's the formula for volume of a cylinder?
 
  • #3
ok, pir^2h not pi(2r)h

now i get it
 

FAQ: Comparing Volumes of Cylinders: Is a Larger Radius or Height More Important?

What is the formula for finding the volume of a cylinder?

The formula for finding the volume of a cylinder is V = πr²h, where V is the volume, π is a constant (approximately 3.14), r is the radius of the circular base, and h is the height of the cylinder.

How do you find the radius of a cylinder?

The radius of a cylinder can be found by measuring the distance from the center of the circular base to the edge of the base.

Can you use the same formula to find the volume of any cylinder?

Yes, the formula V = πr²h can be used to find the volume of any cylinder as long as you know the radius and height of the cylinder.

What is the unit of measurement for volume?

The unit of measurement for volume can vary depending on the given context, but it is typically expressed in cubic units such as cubic centimeters (cm³) or cubic meters (m³).

How do you calculate the volume of a cylinder if the height is not given?

If the height of the cylinder is not given, you cannot accurately calculate the volume. The height is a necessary component in the formula V = πr²h. Therefore, you would need to find the height through other means such as measuring or obtaining the value from a given set of data.

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