Volume of Cylinders

Front

What is the formula for the volume of a cylinder?

Back

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

Front

If a cylinder has a radius of 5 cm and a height of 10 cm, what is its volume?

Back

V = π(5 cm)²(10 cm) = 250π cm³ ≈ 785.4 cm³.

Front

What does π (pi) represent in the volume formula?

Back

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

Front

How do you round a number to the nearest tenth?

Back

Look at the hundredths place; if it's 5 or more, round up the tenths place by one. If it's less than 5, keep the tenths place the same.

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 4 cm?

Back

V = π(3 cm)²(4 cm) = 36π cm³ ≈ 113.1 cm³.

Front

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

Back

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

Front

If the height of a cylinder is doubled, how does that affect the volume?

Back

The volume also doubles, since volume is directly proportional to height.

Front

What is the volume of a cylinder with a radius of 7 cm and a height of 5 cm?

Back

V = π(7 cm)²(5 cm) = 245π cm³ ≈ 769.7 cm³.

Front

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

Back

V = π(2 cm)²(10 cm) = 40π cm³ ≈ 125.7 cm³.

Front

How do you calculate the volume of a cylinder using the formula V = πr²h?

Back

1. Square the radius (r²). 2. Multiply by the height (h). 3. Multiply by π.