Volume of Cylinders

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 does π (pi) represent in geometry?

Back

π (pi) is a constant approximately equal to 3.14, representing the ratio of the circumference of a circle to its diameter.

Front

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

Back

Radius = Diameter / 2.

Front

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

Back

Volume = π(3)²(10) = 282.6 cubic units (using π = 3.14).

Front

What is the volume of a cylinder with a diameter of 4 units and a height of 5 units?

Back

Volume = π(2)²(5) = 62.8 cubic units (using π = 3.14).

Front

How do you round a number to the nearest tenths?

Back

Look at the hundredths place; if it's 5 or more, round up the tenths place by 1.

Front

What is the volume of a cylinder with a diameter of 6 units and a height of 7 units?

Back

Volume = π(3)²(7) = 197.82 cubic units (using π = 3.14).

Front

If a cylinder has a volume of 150 cubic units and a height of 5 units, what is its radius?

Back

Radius = √(Volume / (πh)) = √(150 / (3.14 * 5)) ≈ 3.1 units.

Front

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

Back

The diameter is twice the radius (Diameter = 2 * Radius).

Front

How do you calculate the volume of a cylinder using a calculator?

Back

Input the formula: π * (radius^2) * height, using 3.14 for π.