What is the formula for the volume of a right cone with base area B and height h?A.V = -BhB.V = 3BhC.V = BhD.V = Bh2

Break Down the Problem

1. Identify what is being asked: The formula for the volume of a right cone.
2. Recognize the variables given: Base area $B$ and height $h$.

Relevant Concepts

1. The formula for the volume $V$ of a cone is derived as follows: $V = \frac{1}{3} \times \text{Base Area} \times \text{Height}$ In this case, the base area $B$ and height $h$ are used.

Analysis and Detail

1. Applying the formula using the given variables: $V = \frac{1}{3} B h$ This indicates that the volume is one-third the product of the base area and height.

Verify and Summarize

1. Confirming our understanding: The volume of a right cone, given its base area and height, indeed follows the aforementioned formula.

2. The correct formula is $V = \frac{1}{3} Bh$ which corresponds to one of the options given.

Final Answer

The correct answer is $\text{C. } V = \frac{1}{3} Bh$.