Volume of Cones and Cylinders

Front

What is the formula for the volume of a cone?

Back

The volume V of a cone is given by the formula V = (1/3)πr²h, where r is the radius of the base and h is the height.

Front

What is the formula for the volume of a cylinder?

Back

The volume V of a cylinder is given by the formula V = πr²h, where r is the radius of the base and h is the height.

Front

How do you find the radius of a cone or cylinder from the diameter?

Back

To find the radius, divide the diameter by 2. Radius (r) = Diameter (d) / 2.

Front

What is π (pi) and what is its approximate value?

Back

π (pi) is a mathematical constant representing the ratio of a circle's circumference to its diameter. Its approximate value is 3.14.

Front

If the diameter of a cone is 10 cm, what is the radius?

Back

The radius is 5 cm, since radius = diameter / 2.

Front

Calculate the volume of a cone with a radius of 3 cm and a height of 5 cm. Round to the nearest hundredth.

Back

Volume = (1/3)π(3)²(5) = 15π ≈ 47.12 cm³.

Front

Calculate the volume of a cylinder with a radius of 4 cm and a height of 10 cm. Round to the nearest tenth.

Back

Volume = π(4)²(10) = 160π ≈ 502.7 cm³.

Front

What is the relationship between the volume of a cone and a cylinder with the same base and height?

Back

The volume of the cone is one-third the volume of the cylinder with the same base and height.

Front

How do you round a number to the nearest tenth?

Back

Look at the hundredths place (the second digit after the decimal). If it's 5 or more, round up; if it's less than 5, round down.

Front

What units are used for measuring volume?

Back

Common units for volume include cubic centimeters (cm³), cubic meters (m³), liters (L), and milliliters (mL).