Review: Volume of Spheres, Cones, and Cylinders

Front

What is the formula for finding the volume of a sphere?

Back

V = (4/3)πr³

Front

How do you calculate the volume of a cone?

Back

V = (1/3)πr²h

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h

Front

If the radius of a sphere is 5 cm, what is its volume using π = 3.14?

Back

V = (4/3) * 3.14 * (5)³ = 523.3 cm³ (rounded to the nearest tenth).

Front

What is the volume of a cylinder with a radius of 3 inches and a height of 10 inches using π = 3.14?

Back

V = 3.14 * (3)² * (10) = 282.6 in³ (rounded to the nearest tenth).

Front

How do you convert the diameter of a cylinder to radius?

Back

Radius = Diameter / 2.

Front

What is the volume of a cone with a radius of 4 inches and a height of 9 inches using π = 3.14?

Back

V = (1/3) * 3.14 * (4)² * (9) = 150.72 in³ (rounded to the nearest hundredth).

Front

If a cylinder has a diameter of 8 inches, what is its radius?

Back

Radius = 8 inches / 2 = 4 inches.

Front

What is the volume of a sphere with a radius of 7 cm using π = 3.14?

Back

V = (4/3) * 3.14 * (7)³ = 1436.8 cm³ (rounded to the nearest tenth).

Front

What is the significance of π in volume calculations?

Back

π is a constant used to relate the diameter or radius of a circle to its circumference and area, and it appears in volume formulas for spheres, cones, and cylinders.