Composite Volume of Cylinders, Cones, Spheres

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 = ⅓πr²h

Front

What is the formula for the volume of a sphere?

Back

V = ⅔πr³

Front

How do you calculate the volume of a composite figure that includes a cylinder and a cone?

Back

Add the volume of the cylinder and the volume of the cone.

Front

Find the volume of a cylinder with a radius of 5 cm and a height of 10 cm.

Back

V = π(5)²(10) = 250π ≈ 785.4 cm³

Front

Find the volume of a cone with a radius of 3 cm and a height of 9 cm.

Back

V = ⅓π(3)²(9) = 27π ≈ 84.8 cm³

Front

Find the volume of a sphere with a radius of 4 cm.

Back

V = ⅔π(4)³ = ⅔(64π) ≈ 268.1 cm³

Front

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

Back

Diameter = 2 × Radius

Front

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

Back

The volume increases by a factor of 4 (since V = πr²h).

Front

If the height of a cone is halved, how does the volume change?

Back

The volume is halved (since V = ⅓πr²h).