Volume of Spheres, Cones, and Cylinders

Front

What is the formula for the volume of a sphere?

Back

V = 4/3(πr³)

Front

What is the formula for 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

What is the difference between radius and diameter?

Back

Radius is half of the diameter.

Front

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

Back

V = 4/3(π(3)³) = 36π cm³

Front

How many times larger is the volume of a cylinder compared to a cone with the same base and height?

Back

3 times larger.

Front

What is the relationship between the radius and diameter of a circle?

Back

Diameter = 2 × Radius.

Front

If a cone has a height of 5 cm and a radius of 2 cm, what is its volume?

Back

V = 1/3(π(2)²(5)) = rac{20}{3}π cm³.

Front

What is 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

If the diameter of a sphere is 10 cm, what is its radius?

Back

Radius = 5 cm.