Unit 9 Study Guide

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h

Front

What does the variable 'r' represent in the volume formula of a cylinder?

Back

The radius of the base of the cylinder.

Front

What is the formula for the surface area of a cylinder?

Back

SA = 2πrh + 2πr²

Front

What does 'SA' stand for in geometry?

Back

Surface Area

Front

What is the unit of measurement for surface area?

Back

cm², m², in², etc.

Front

How do you find the volume of a cone?

Back

Use the formula V = ⅓πr²h.

Front

What is the difference between volume and surface area?

Back

Volume measures the space inside a 3D object, while surface area measures the total area of the object's surface.

Front

What is the volume of a cylinder with a radius of 5 cm and a height of 10 cm?

Back

V = π(5)²(10) = 250π cm³ ≈ 785.4 cm³.

Front

If the radius of a cylinder is doubled, how does the volume change?

Back

The volume increases by a factor of 4.

Front

What is the formula for the volume of a sphere?

Back

V = ⅗πr³.