Math 3 Unit 3 Review -- Volume, Density, and Cross Sections

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

What is the diameter of a circle?

Back

The diameter is the distance across the circle through its center, equal to twice the radius.

Front

How do you calculate the radius from the diameter?

Back

Radius = Diameter / 2.

Front

What are the units for measuring volume?

Back

Cubic units (e.g., cm³, m³).

Front

What is density?

Back

Density is the mass per unit volume of a substance, often expressed as D = m/V.

Front

What is the volume of a cylinder with a radius of 4.5 cm and a height of 32 cm?

Back

V = π(4.5)²(32) ≈ 636.17 cm³.

Front

What shape does the horizontal cross section of a cylinder have?

Back

Circle.

Front

What is the volume of a sphere?

Back

V = (4/3)πr³, where r is the radius.

Front

What is the volume of a triangular prism?

Back

V = (1/2 * base * height) * length.

Front

What is the relationship between volume and units?

Back

Volume is always expressed in cubic units.