Volume of Cylinders and Cones

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h

Front

What is the formula for the volume of a cone?

Back

V = \frac{1}{3}πr²h

Front

Why does the formula for the volume of a cone involve dividing by 3?

Back

Because it takes 3 cones to fill up a cylinder.

Front

What is the definition of volume?

Back

The amount of space taken up by a 3D solid.

Front

If a cone and a cylinder have the same diameter and height, how many times greater is the cylinder's volume than the cone's?

Back

3 times greater.

Front

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

Back

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

Front

What is the height of a cone with a radius of 10 in and a volume of approximately 419 in³?

Back

4 in.

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 cm³.

Front

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

Back

V = \frac{1}{3}π(4)²(6) = \frac{96}{3}π = 32π cm³.

Front

How do you convert the volume of a cone to the volume of a cylinder?

Back

Multiply the volume of the cone by 3.