Question

1. 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:

• Option a: Measuring a sphere's diameter is related to the properties of a sphere, not a cone.
• Option b: Finding a cube's perimeter is about the linear measurement of a cube's edges, not volume of a cone.
• Option c: Designing a rectangular box is related to the volume of a rectangular - prism (calculated as \(V = l\times w\times h\)), not a cone.
• Option d: A conical fountain has the shape of a cone. To fill it (i.e., find the amount of liquid or space inside it), we need to calculate the volume of a cone. The formula for the volume of 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.