Question

1. which of the following dimensions do not affect the volume of a cone?

a. slant height of the cone
b. diameter of the base
c. height of the cone
d. radius of the base

Explanation:

Step1: Recall the volume formula of a cone

The volume formula 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.

Step2: Analyze the relationship between each option and the formula

• Option B: The diameter \(d = 2r\), so the diameter is related to the radius \(r\) in the formula.
• Option C: The height \(h\) is directly in the volume formula.
• Option D: The radius \(r\) is in the volume formula.
• Option A: The slant height \(l=\sqrt{r^{2}+h^{2}}\) is not present in the volume formula \(V = \frac{1}{3}\pi r^{2}h\).

Answer:

A. Slant height of the cone