Use what you know about the various volume formulas to determine which of the following three-dimensional figures does not have a B

in its corresponding volume formula.(1 point)
Responses

a cylinder
a cylinder

a pyramid
a pyramid

a sphere
a sphere

a cone

1 answer

To determine which three-dimensional figure does not have a "B" in its corresponding volume formula, let's look at the volume formulas for each figure:

  1. Cylinder: The volume formula is \( V = B \cdot h \), where \( B \) is the area of the base.
  2. Pyramid: The volume formula is \( V = \frac{1}{3}B \cdot h \), where \( B \) is the area of the base.
  3. Sphere: The volume formula is \( V = \frac{4}{3} \pi r^3 \); there is no base area \( B \) involved in this formula.
  4. Cone: The volume formula is \( V = \frac{1}{3}B \cdot h \), where \( B \) is the area of the base.

From this analysis, the figure that does not have a "B" in its volume formula is the sphere.