Volume of Cone, Sphere, Cylinder

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

What is the formula for the volume of a cylinder?

Back

V = πr²h, where r is the radius and h is the height.

Front

If the height of a cone is 10 cm and the radius is 5 cm, what is its volume?

Back

V = (1/3)π(5)²(10) = 83.33 cm³.

Front

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

Back

The volume of a cone is 1/3 the volume of a cylinder.

Front

If the diameter of a cylinder is 20 cm, what is its radius?

Back

Radius = Diameter / 2 = 20 cm / 2 = 10 cm.

Front

What is the volume of a sphere with a radius of 3 cm?

Back

V = (4/3)π(3)³ = 113.1 cm³.

Front

How do you convert diameter to radius?

Back

Radius = Diameter / 2.

Front

What is the height of a cylinder if its volume is 100 cm³ and the radius is 5 cm?

Back

V = πr²h; h = V / (πr²) = 100 / (π(5)²) = 1.27 cm.

Front

What is the volume of a cone with a radius of 4 cm and a height of 9 cm?

Back

V = (1/3)π(4)²(9) = 47.75 cm³.