To find the formula for the volume of a right cone with base area [tex]\( B \)[/tex] and height [tex]\( h \)[/tex], let's review the standard formula for the volume of a cone.
The volume [tex]\( V \)[/tex] of a right cone is given by:
[tex]\[ V = \frac{1}{3} \times (\text{base area}) \times (\text{height}) \][/tex]
Here, the base area is denoted by [tex]\( B \)[/tex] and the height is denoted by [tex]\( h \)[/tex]. Therefore, substituting these symbols into the formula, the volume [tex]\( V \)[/tex] can be expressed as:
[tex]\[ V = \frac{1}{3} B h \][/tex]
Now, let's examine the given answer choices:
A. [tex]\( V = \frac{1}{3} B h \)[/tex]
B. [tex]\( V = -\frac{1}{3} B h \)[/tex]
C. [tex]\( V = 2 B h^2 \)[/tex]
D. [tex]\( y = 8 h \)[/tex]
From the analysis above, the correct formula is given by option A:
[tex]\[ V = \frac{1}{3} B h \][/tex]
Thus, the correct answer to the question is:
A. [tex]\( V = \frac{1}{3} B h \)[/tex]
