Question

which object is best modeled by a sphere when determining volume? a. gift box b. cone c. water bottle d. marble

Explanation:

Step1: Analyze each option

• Gift box: It is a rectangular - prism - shaped object. Its volume is calculated using the formula \(V = l\times w\times h\) (where \(l\) is length, \(w\) is width, \(h\) is height), not the formula for the volume of a sphere \(V=\frac{4}{3}\pi r^{3}\).
• Cone: 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), not the formula for the volume of a sphere.
• Water bottle: A water - bottle is usually a combination of shapes (like a cylinder with some other features). Its volume is not calculated using the sphere volume formula.
• Marble: A marble is a three - dimensional object that is very close to a spherical shape. The volume of a marble can be well - approximated using the formula for the volume of a sphere \(V = \frac{4}{3}\pi r^{3}\), where \(r\) is the radius of the marble.

Answer:

D. Marble