Formulas
What is the formula for the volume of a cylinder?
V=πr^2h
Find the volume of a cylinder with radius 3 cm and height 5 cm.
141.4 cubic cm
A cylinder has a volume of 314.2 cm³ and a radius of 5 cm. Find the height.
4 cm
A sphere has volume 523.6 in³. Find the radius.
5 in
This term describes the straight line that passes through the center of a sphere and touches both sides of its surface.
Diameter
What is the formula for the volume of a cone?
V=(πr^2h)/3
Find the volume of a cone with radius 4 m and height 6 m.
100.5 cubic m
A cone has volume 150.8 m³ and radius 6 m. Find the height.
4 m
A cylinder has volume 314.2 cm³ and height 4 cm. Find the radius.
5 cm
What is the term for the three-dimensional space enclosed by a boundary or surface, measured in cubic units?
Volume
What is the formula for the volume of a sphere?
V=4/3πr^3
Find the volume of a sphere with radius 2 in.
33.5 cubic in
A cone has volume 75.4 cm³ and radius 3 cm. Find the height.
8 cm
A cone has volume 100.5 m³ and height 6 m. Find the radius.
4 m
This term refers to the point at the tip of a cone, opposite its circular base.
Vertex
Which variable represents the radius in volume formulas?
r
Find the volume of a cone with radius 3 cm and height 10 cm.
94.2 cubic cm
A cylinder has volume 628.3 in³ and radius 4 in. Find the height.
12.5 in
A cylinder has volume 785.4 in³ and height 10 in. Find the radius.
5 in
What is the name of the two-dimensional shape that forms the base of both cylinders and cones?
Circle
What does the "h" represent in the volume formulas for a cylinder and a cone?
Height
Find the volume of a cylinder with radius 5 m and height 12 m.
942.5 cubic meters
A cone has volume 113.1 cm³ and radius 2 cm. Find the height.
27 cm
A cone has volume 150.8 m³ and height 8 m. Find the radius.
6 m
Explain the difference between how a cylinder and a cone fill space, even if they have the same base and height.
A cone occupies one-third the volume of a cylinder with the same base and height because it tapers to a point, while a cylinder has uniform cross-sections throughout.