Cylinder Cone Sphere

Finding Volume of Cylinders, Cones & Spheres
Background: Volume is the measure of space occupied by a solid. Volume is
measured in cubic units.
Geometric Shape
Cylinder
Formula
Example
Words:
The volume V of a cylinder
with radius r is the area of
the base B times the
height h.
Symbols
V = Bh, where B = 𝝅𝒓 or
V = π…π’“πŸ 𝒉
𝟐
Cone
Words:
The volume V of a cone
with radius r is one third
the area of the base B
times the height h.
Find the volume. Round to the
nearest tenth.
V = π…π’“πŸ 𝒉
r = 5, h = 8.3
V = 3.14(πŸ“)𝟐 βˆ™ πŸ–. πŸ‘
V β‰ˆ 651.6 π’„π’ŽπŸ‘
Find the volume. Round to the
nearest tenth.
𝟏
V = πŸ‘Bh or
Symbols
𝟏
V = πŸ‘Bh or
OR
πŸ‘
𝟐
𝝅𝒓 𝒉
π…π’“πŸ 𝒉
V =
Sphere
𝟏
πŸ‘
Words:
The volume V of a sphere
is four thirds the product
of 𝝅 and the cube of the
radius r.
Symbols
V =
πŸ’
V =
πŸ’π…π’“πŸ‘
π…π’“πŸ‘ or
πŸ‘
πŸ‘
𝟏
πŸ‘
π…π’“πŸ 𝒉
r = 3, h = 6
𝟏
V = πŸ‘ βˆ™ πŸ‘. πŸπŸ’ βˆ™ πŸ‘πŸ βˆ™ πŸ”
𝑽 β‰ˆ πŸ“πŸ”. πŸ“ π’Šπ’.πŸ‘
OR
V =
π…π’“πŸ 𝒉
πŸ‘
πŸ‘.πŸπŸ’ βˆ™ πŸ‘πŸ βˆ™ πŸ”
=
πŸ‘
𝑽 β‰ˆ πŸ“πŸ”. πŸ“ π’Šπ’.πŸ‘
Find the volume. Round to the
nearest tenth.
V =
πŸ’
πŸ‘
π…π’“πŸ‘
r = 6
πŸ’
𝑽 = πŸ‘ βˆ™ 3.14 βˆ™ πŸ”πŸ‘
Vβ‰ˆ 904.8 π’Žπ’ŽπŸ‘
OR
V =
πŸ’ βˆ™ πŸ‘.πŸπŸ’ βˆ™ πŸ”πŸ‘
πŸ‘
Vβ‰ˆ 904.3 π’Žπ’ŽπŸ‘