Volume of Cylinders, Cones, and Spheres

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.

Front

What is the volume of a cone?

Back

Volume = (1/3)πr²h, where r is the radius and h is the height.

Front

How do you convert the volume of a cylinder from cubic centimeters to cubic meters?

Back

Divide the volume in cm³ by 1,000,000.

Front

What is the relationship between the radius and diameter of a cylinder?

Back

Diameter = 2 * Radius.

Front

If the radius of a cylinder is doubled, how does the volume change?

Back

The volume increases by a factor of 4.

Front

What units are used to measure volume?

Back

Common units include cubic centimeters (cm³), cubic meters (m³), liters (L), and gallons.

Front

What is the approximate value of π?

Back

π is approximately 3.14.

Front

How do you find the height of a cylinder if you know the volume and radius?

Back

Rearrange the volume formula: h = Volume / (πr²).

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

Volume = π(3)²(5) = 45π cm³ ≈ 141.4 cm³.

Front

What is the volume of a cone with a radius of 4 cm and a height of 9 cm?

Back

Volume = (1/3)π(4)²(9) = 48π cm³ ≈ 150.8 cm³.