5/7/2015
11.5 Volume of Pyramids and
Cones
Learning Objective: Find the volume of pyramids and
cones
Finding the Volume of a Pyramid
• Volume of a Pyramid The volume V of a
1
pyramid is 𝑉 = 𝐵ℎ, where B is the area of the
3
base and h is the height. Don’t get this confused
with slant height
1
5/7/2015
Finding the Volume of a Pyramid
• Find the volume of the pyramid with the square base shown
below.
Finding volume of oblique pyramid.
• Find the volume of the pyramid with the regular base.
2
5/7/2015
Find the volume of the figure below
Volume of a cone
• Volume of a Cone The volume V of a cone is
1
𝑉 = 𝜋𝑟 2 ℎ
3
where B is the area of the base, h is the height, and r is the radius
of the base.
• Anyone see a right triangle?
3
5/7/2015
Find the volume of the cone.
• Right circular cone
• Oblique circular cone
Try some on your own
4
5/7/2015
Using the Volume
• Use the given measurements to solve for x.
Composite Figures
• A rocket has the dimensions shown at the right. If 60% of the
space in the rocket is needed for fuel, what is the volume, to the
nearest whole unit, of the portion of the rocket that is available
for nonfuel items?
5
5/7/2015
Homework
• Homework is WKST 11.5 AB
6