Volume of Cylinders

Front

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

Back

The volume V of a cylinder can be calculated using the formula V = πr²h, where r is the radius and h is the height.

Front

How do you find the radius of a cylinder if you know the diameter?

Back

The radius r is half of the diameter d. Therefore, r = d/2.

Front

What is the value of π (pi) commonly approximated to in calculations?

Back

π (pi) is commonly approximated to 3.14.

Front

If a cylinder has a height of 10 cm and a diameter of 4 cm, what is its volume?

Back

First, find the radius: r = 4 cm / 2 = 2 cm. Then, V = πr²h = 3.14 * (2 cm)² * 10 cm = 125.6 cm³.

Front

What units are used to express the volume of a cylinder?

Back

The volume of a cylinder is typically expressed in cubic units, such as cubic centimeters (cm³), cubic meters (m³), or cubic inches (in³).

Front

How does changing the height of a cylinder affect its volume?

Back

Increasing the height of a cylinder increases its volume, while decreasing the height decreases its volume, assuming the radius remains constant.

Front

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

Back

Using the formula V = πr²h, V = 3.14 * (3 in)² * 5 in = 141.3 in³.

Front

What is the significance of rounding in volume calculations?

Back

Rounding is significant in volume calculations to provide a more manageable number, especially when dealing with large or complex figures.

Front

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

Back

To convert cubic centimeters (cm³) to liters, divide the volume by 1000, since 1 liter = 1000 cm³.

Front

What is the volume of a cylinder with a height of 7 m and a radius of 2 m?

Back

V = πr²h = 3.14 * (2 m)² * 7 m = 87.92 m³.