Question

in the volume formula $\frac{1}{3}pi r^{2}h$, what does $h$ represent?
a. radius
b. height
c. diameter
d. volume
which scenario might require finding the volume of a cone?
a. designing a rectangular box
b. measuring a spheres diameter.
c. finding a cubes perimeter.
d. filling a conical fountain.

Explanation:

In the volume formula of a cone \( V=\frac{1}{3}\pi r^{2}h\), \(r\) represents the radius of the base of the cone. By the nature of the formula for the volume of a three - dimensional shape, \(h\) represents the height of the cone. For the second question, a conical fountain has the shape of a cone, so finding its volume would require using the volume formula of a cone. A rectangular box uses the volume formula \(V = l\times w\times h\) (for a rectangular prism), measuring a sphere's diameter is a linear measurement, and finding a cube's perimeter is also a linear - based calculation (perimeter of a cube's edge structure).

Answer:

1. b. height
2. d. Filling a conical fountain