Volume of Cylinders

Front

What is the formula for the volume of a cylinder?

Back

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

Front

How do you calculate the volume of a cylinder with a radius of 5 cm and a height of 10 cm?

Back

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

Front

What is the value of π used in volume calculations?

Back

π is approximately 3.14.

Front

If a cylinder has a height of 15 cm and a base radius of 4 cm, what is its volume?

Back

V = π(4 cm)²(15 cm) = 240π cm³ ≈ 753.9 cm³.

Front

What units are used to express the volume of a cylinder?

Back

Volume is expressed in cubic units, such as cm³, m³, in³, etc.

Front

How does changing the radius of a cylinder affect its volume?

Back

Increasing the radius increases the volume exponentially, as volume is proportional to the square of the radius.

Front

What happens to the volume of a cylinder if the height is doubled?

Back

The volume of the cylinder also doubles, as volume is directly proportional to height.

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 7 cm?

Back

V = π(3 cm)²(7 cm) = 63π cm³ ≈ 197.9 cm³.

Front

How do you round the volume of a cylinder to the nearest tenth?

Back

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

Front

What is the significance of the base radius in the volume formula for a cylinder?

Back

The base radius determines the area of the circular base, which is crucial for calculating volume.