Volume of Cylinders, Cones, and Spheres.

Front

What is the formula for the volume of a cylinder?

Back

V = π r² h

Front

What is the formula for the volume of a cone?

Back

V = (1/3) π r² h

Front

What is the formula for the volume of a sphere?

Back

V = (4/3) π r³

Front

How do you find the volume of a cone with a radius of 3 cm and a height of 5 cm?

Back

V = (1/3) π (3)² (5) = 15π cm³

Front

If the radius of a sphere is 6 cm, what is its volume?

Back

V = (4/3) π (6)³ = 288π cm³

Front

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

Back

Volume increases with the cube of the radius.

Front

How do you calculate the volume of a cylinder with a radius of 4 cm and a height of 10 cm?

Back

V = π (4)² (10) = 160π cm³

Front

What is the volume of a cone with a base radius of 2 m and a height of 9 m?

Back

V = (1/3) π (2)² (9) = 12π m³

Front

When given the volume of a sphere as 972π, how do you find the radius?

Back

r = (3V/(4π))^(1/3) = 9.

Front

What is the volume of a cylinder with a radius of 5 cm and a height of 7 cm?

Back

V = π (5)² (7) = 175π cm³