Find the volume of a hexagonal pyramid with
sidelength 5 cm and lateral edge 13 cm.
12-3: Cylinders and Cones
Put your name on them.
Formulas so far:
• Prisms:
– 𝑽 = 𝑩𝒉
– 𝑻. 𝑨. = 𝟐𝑩 + 𝒑𝒉
• Pyramids:
– 𝑽=
𝟏
𝑩𝒉
𝟑
𝟏
𝟐
– 𝑻. 𝑨. = 𝑩 + 𝒑𝒍
12-3 Objectives
• Identify the parts of a cylinder and cone.
• Solve problems involving lateral area, total
area, and volume of cylinders and cones.
and
:
:
Cylinder Formulae
Surface Area:
Volume:
Cone Formulae
Surface Area:
Volume:
A cylinder and cone each have 𝑟 = 3 and ℎ = 4.
Find their total areas and volumes.
A cone has 𝑟𝑎𝑑𝑖𝑢𝑠 9 and 𝑣𝑜𝑙𝑢𝑚𝑒 324𝜋. What is
its total surface area?
Two water pipes of the same length (height) have
diameters of 6 and 8 cm. These pipes are replaced with a
single pipe of the same length with the same capacity as
the two combined. What’s the diameter of the new pipe?
p. 492: #1-25 odd, 22, 26