Question

1. in the volume formula \\( \frac { 1 } { 3 } \pi r ^ { 2 } h \\), what does \\( h \\) represent?

• radius

b. height
c. diameter
d. volume

Explanation:

The formula \( \frac{1}{3}\pi r^{2}h \) is the volume formula for a cone. In geometric formulas, \( r \) typically represents the radius (distance from the center of a circular base to its edge), \( h \) is a standard symbol for height (the perpendicular distance from the base to the apex of the cone), \( d = 2r \) (diameter, which is not used here as the formula has \( r^{2} \), not \( d^{2} \)), and \( V\) (not \( h \)) would represent volume. By standard geometric variable - naming conventions, \( h \) in \( \frac{1}{3}\pi r^{2}h \) stands for height.

Answer:

b. height