Area and Volume Formulas

Front

What is the formula for the volume of a cone?

Back

V = 1/3 π r² h

Front

How do you calculate the area of a square?

Back

A = s², where s is the length of a side.

Front

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

Back

The volume of a hemisphere is half the volume of a sphere.

Front

What is the formula for the area of a trapezoid?

Back

A = 1/2 h(b1 + b2), where h is the height and b1 and b2 are the lengths of the two bases.

Front

What is the formula for the volume of a cylinder?

Back

V = π r² h

Front

What does 'r' represent in the volume formulas for cones and cylinders?

Back

'r' represents the radius of the base of the cone or cylinder.

Front

What does 'h' represent in the volume formulas for cones and cylinders?

Back

'h' represents the height of the cone or cylinder.

Front

What is the formula for the volume of a sphere?

Back

V = 4/3 π r³

Front

How do you derive the volume of a hemisphere from the volume of a sphere?

Back

Divide the volume of the sphere by 2.

Front

What is the significance of π in area and volume formulas?

Back

π is a constant that represents the ratio of the circumference of a circle to its diameter, and it appears in formulas involving circles.