Question

which scenario might require finding the volume of a cone?
a. measuring a spheres diameter.
b. finding a cubes perimeter.
c. designing a rectangular box.
d. filling a conical fountain.

Explanation:

Step1: Analyze option a

Measuring a sphere’s diameter is about sphere, not cone.

Step2: Analyze option b

Finding a cube’s perimeter is about cube, not cone.

Step3: Analyze option c

Designing a rectangular box is about rectangular - box (prism), not cone.

Step4: Analyze option d

A conical fountain is in the shape of a cone. To fill it (find the amount of water/liquid needed), we need to find its volume. The volume formula for a cone is \(V=\frac{1}{3}\pi r^{2}h\) (where \(r\) is the radius of the base and \(h\) is the height of the cone).

Answer:

D. Filling a conical fountain.