Question

guided notes: solving real - world problems (volume of cones)

in the volume formula \\( \frac { 1 } { 3 } \pi r ^ { 2 } h \\), the variable \\( r \\) stands for

the variable \\( h \\) in the volume formula represents the
of the cone.

to find the volume of a cone, you need to know the radius and
the

the volume of a cone is always one - third of the volume of a
with the same base and height.

when calculating the volume of a cone, you first need to square
the

Explanation:

• In the volume formula \(V=\frac{1}{3}\pi r^{2}h\) of a cone, \(r\) is the radius of the circular base of the cone.
• \(h\) represents the height of the cone (the perpendicular distance from the base to the apex).
• Since \(V = \frac{1}{3}\pi r^{2}h\), to find the volume, we need radius \(r\) and height \(h\).
• The volume of a cone \(V_{cone}=\frac{1}{3}\pi r^{2}h\) and the volume of a cylinder \(V_{cylinder}=\pi r^{2}h\) (same \(r\) and \(h\)), so the volume of a cone is one - third of the volume of a cylinder with the same base and height.
• In the formula \(V=\frac{1}{3}\pi r^{2}h\), we first square the radius (\(r^{2}\)) as part of the calculation.

Answer:

1. radius of the base
2. height
3. height
4. cylinder
5. radius