Volume of Spheres, Cones, and Cylinders

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 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

If a sphere has a diameter of 6 inches, what is its radius?

Back

The radius is 3 inches (radius = diameter/2).

Front

Calculate the volume of a sphere with a radius of 3 inches using π = 3.14.

Back

V = (4/3)π(3)³ = 113.04 in³.

Front

What is the height of a cylinder if its volume is 3183.96 cm³ and radius is 6.5 cm?

Back

Use the formula V = πr²h to find h: h = V / (πr²).

Front

What is the diameter of a cylinder if its radius is 4.5 inches?

Back

The diameter is 9 inches (diameter = 2 × radius).

Front

What is the volume of a cylinder with a radius of 4.5 inches and height of 32 inches?

Back

V = π(4.5)²(32) = 640.5π ≈ 2010.61 in³.

Front

If a cone has a radius of 4 inches and a height of 9 inches, what is its volume?

Back

V = (1/3)π(4)²(9) = 48π ≈ 150.8 in³.

Front

What is the relationship between the volume of a cone and a cylinder with the same base and height?

Back

The volume of the cone is one-third that of the cylinder.