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

Question

in its corresponding volume formula.(1 point)
Responses

a cylinder
a cylinder

a cone
a cone

a sphere
a sphere

a pyramid

Answer 1

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

1. Cylinder: The volume formula is \( V = B \times h \), where \( B \) is the area of the base (a circle in this case) and \( h \) is the height.

2. Cone: The volume formula is \( V = \frac{1}{3} B \times h \), where \( B \) is the area of the base (also a circle) and \( h \) is the height.

3. Sphere: The volume formula is \( V = \frac{4}{3} \pi r^3 \). There is no base area \( B \) in this formula.

4. Pyramid: The volume formula is \( V = \frac{1}{3} B \times h \), where \( B \) is the area of the base and \( h \) is the height.

Based on the analysis:

• The cylinder has a \( B \).
• The cone has a \( B \).
• The sphere does not have a \( B \).
• The pyramid has a \( B \).

Thus, the figure that does not have a \( B \) in its corresponding volume formula is a sphere.