Volume of Cylinders

Front

What is the formula for the volume of a cylinder?

Back

V = π × r² × h, where V is volume, r is radius, and h is 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

If the radius of a cylinder is 3 cm and the height is 5 cm, what is the volume?

Back

V = 3.14 × 3² × 5 = 141.3 cm³.

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 one.

Front

What is the volume of a cylinder with a radius of 2 cm and a height of 10 cm?

Back

V = 3.14 × 2² × 10 = 125.6 cm³.

Front

What is the height of a cylinder if the volume is 314 cm³ and the radius is 5 cm?

Back

Using V = π × r² × h, h = V / (π × r²) = 314 / (3.14 × 5²) = 4 cm.

Front

What is the volume of a cylinder with a radius of 4 cm and a height of 6 cm?

Back

V = 3.14 × 4² × 6 = 301.44 cm³.

Front

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

Back

The diameter is twice the radius: d = 2 × r.

Front

If a cylinder has a volume of 785 cm³, what could be its dimensions?

Back

Possible dimensions: radius = 5 cm, height = 10 cm (V = 3.14 × 5² × 10).

Front

What is the volume of a cylinder with a radius of 1 cm and a height of 10 cm?

Back

V = 3.14 × 1² × 10 = 31.4 cm³.