Volume of Cylinders

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h

Front

What does 'r' represent in the volume formula V = πr²h?

Back

r represents the radius of the base of the cylinder.

Front

What does 'h' represent in the volume formula V = πr²h?

Back

h represents the height of the cylinder.

Front

What is the value of π (pi) approximately?

Back

π is approximately 3.14.

Front

How do you calculate the area of the base of a cylinder?

Back

The area of the base (A) is calculated using A = πr².

Front

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

Back

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

Front

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

Back

The volume increases by a factor of four (V = π(2r)²h = 4πr²h).

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

V = π(3)²(5) = 45π ≈ 141.4 cm³.

Front

What is the formula for the volume of a prism?

Back

V = Bh, where B is the area of the base and h is the height.

Front

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

Back

B stands for the area of the base.