Volume of Cylinders, Cones and Spheres

Front

What is the formula for the volume of a cylinder?

Back

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

Front

What is the formula for the volume of a cone?

Back

Volume = (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

Volume = (4/3)πr³, where r is the radius.

Front

What is the difference between radius and diameter?

Back

Radius is half the diameter; Diameter is twice the radius.

Front

If the radius of a sphere is 3 cm, what is its volume?

Back

Volume = (4/3)π(3)³ = 36π cm³ or approximately 113.1 cm³.

Front

What shape has a circular base and a pointed top?

Back

Cone.

Front

What shape is defined as having all points equidistant from a center point?

Back

Sphere.

Front

How do you find the height of a cylinder if you know its volume and radius?

Back

Rearrange the formula: h = Volume / (πr²).

Front

What is the volume of a cylinder with a radius of 2 cm and a height of 5 cm?

Back

Volume = π(2)²(5) = 20π cm³ or approximately 62.83 cm³.

Front

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

Back

Volume = (1/3)π(4)²(9) = 48π cm³ or approximately 150.8 cm³.