Volume of Cylinders, Cones and Spheres

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³, where r is the radius.

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 does 'diameter' refer to in a circle?

Back

The diameter is the distance across the circle through its center, equal to twice the radius.

Front

If a cylinder has a diameter of 9 inches, what is its radius?

Back

The radius is 4.5 inches.

Front

What does 'height' represent in the context of volume formulas?

Back

Height (h) is the perpendicular distance from the base to the top of the shape.

Front

How do you calculate the volume of a cylinder with a radius of 4.5 inches and a height of 32 inches?

Back

V = π(4.5)²(32) = 640.5π cubic inches.

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 volume of a sphere with a radius of 3 inches?

Back

V = (4/3)π(3)³ = 36π cubic inches.

Front

What is the volume of a cone with a radius of 5 inches and a height of 12 inches?

Back

V = (1/3)π(5)²(12) = 100π cubic inches.