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

Back

V = π(3)²(5) = 45π ≈ 141.37 in³.

Front

How do you find the volume of a cone with a radius of 4 inches and a height of 6 inches?

Back

V = (1/3)π(4)²(6) = 32π ≈ 100.53 in³.

Front

How do you find the volume of a sphere with a radius of 5 inches?

Back

V = (4/3)π(5)³ = (4/3)π(125) ≈ 523.6 in³.

Front

What is the approximate volume of a cylinder with a radius of 2 cm and a height of 10 cm?

Back

V = π(2)²(10) = 40π ≈ 125.66 cm³.

Front

What is the approximate volume of a cone with a radius of 3 cm and a height of 9 cm?

Back

V = (1/3)π(3)²(9) = 27π ≈ 84.82 cm³.

Front

What is the approximate volume of a sphere with a radius of 7 cm?

Back

V = (4/3)π(7)³ = (4/3)π(343) ≈ 1436.76 cm³.

Front

What is the relationship between the volumes of a cylinder, cone, and sphere with the same radius and height?

Back

The volume of the cylinder is three times that of the cone, and the volume of the sphere is two-thirds that of the cylinder.