Volume of Cylinders

Front

What is the formula for the volume of a cylinder?

Back

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

Front

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

Back

Radius (r) is half of the diameter (d): r = d/2.

Front

What does the 'B' represent in the volume formula V = Bh?

Back

'B' represents the area of the base of the cylinder.

Front

If a cylinder has a height of 10 cm and a radius of 3 cm, what is its volume?

Back

V = π(3)²(10) = 90π ≈ 282.7 cm³.

Front

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

Back

Multiply the volume in cubic inches by 16.387 to convert to cubic centimeters.

Front

What is the volume of a cylinder with a diameter of 6 inches and a height of 10 inches?

Back

V = π(3)²(10) = 90π ≈ 282.7 in³.

Front

What is the significance of rounding in volume calculations?

Back

Rounding is important for precision and to match the required significant figures.

Front

How do you find the volume of multiple identical cylinders?

Back

Multiply the volume of one cylinder by the number of cylinders.

Front

What is the volume of a cylinder with a radius of 5 cm and a height of 20 cm?

Back

V = π(5)²(20) = 500π ≈ 1570.8 cm³.

Front

What units are used for measuring volume?

Back

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