Question

what is the formula for the volume of a right cone with base area b and height h? a. $v = 2bh^2$ b. $v = -\frac{1}{3}bh$ c. $v = \frac{1}{3}bh$ d. $v = bh$

Explanation:

Step1: Recall cone volume rule

The volume of a right cone is one-third the product of its base area and height.

Step2: Match to given variables

Substitute base area $B$ and height $h$ into the rule: $V=\frac{1}{3}Bh$

Step3: Eliminate incorrect options

Option A uses an incorrect squared height and coefficient. Option B has an invalid negative value (volume cannot be negative). Option D is the volume formula for a prism, not a cone.

Answer:

C. $V=\frac{1}{3}Bh$