Math 6 Honors Periods 6 & 7 (Wednesday)

Volumes of Cylinders 10-7

A cylinder is a space figure that has two circular bases and one curved surface. The perpendicular distance between the bases is the height (h) of the cylinder.
If the base radius is r, then the base area, B is

πr²

Volume of cylinder = Base area X height
V = BH
V = πr² h
Find the volume of a cylinder having a base radius of 6 cm and a height of 8 cm.
B = πr² so B = π6²

36π

≈

36 X 3.14 113 ( rounded to three digits as our book requests)

V = Bh

113 X 8 = 904 904 cubic cm.

The volume of a cylinder or box is often called its capacity. For containers of liquids, capacity is usually measured in liters (L) or milliliters (mL)

Note: 1 L = 1000 cm³ and 1 mL = 1 cm³.


Note: Certain mathematics may have different meanings than they have in ordinary usage. For example, in everyday language, base refers to the bottom of an object and height refers to how tall an object is. In mathematical usage these terms have special meanings,