Volume of cylinders, Cones and Spheres

Front

What is the formula for the volume of a cylinder?

Back

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

Front

What is the formula for the volume of a cone?

Back

V = (1/3)πr²h, where r is the radius and h is the height.

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³, where r is the radius.

Front

How do you calculate the radius of a cylinder if you know the volume and height?

Back

Rearrange the volume formula: r = √(V / (πh)).

Front

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

Back

The volume doubles, since V = πr²h.

Front

What is the relationship between the radius and volume of a sphere?

Back

The volume increases with the cube of the radius: V = (4/3)πr³.

Front

How do you express the volume of a cone in terms of pi?

Back

Use the formula V = (1/3)πr²h and leave π in the answer.

Front

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

Back

V = π(3)²(5) = 45π in³.

Front

What is the volume of a sphere with a radius of 4 cm?

Back

V = (4/3)π(4)³ = (256/3)π cm³.

Front

If a cone has a radius of 2 cm and a height of 6 cm, what is its volume?

Back

V = (1/3)π(2)²(6) = 8π cm³.