Question

match the formula for each volume to the figure to which it applies.
figure volume

• ○ right circular cylinder a. $v = lwh$
• ○ rectangular solid b. $v = \pi r^{2}h$
• ○ sphere c. $v = \frac{4}{3}\pi r^{3}$

Explanation:

Step1: Recall the volume formula for a right - circular cylinder

The volume of a right - circular cylinder is given by \(V=\pi r^{2}h\) (where \(r\) is the radius of the base and \(h\) is the height).

Step2: Recall the volume formula for a rectangular solid

The volume of a rectangular solid (with length \(l\), width \(w\) and height \(h\)) is \(V = lwh\).

Step3: Recall the volume formula for a sphere

The volume of a sphere (with radius \(r\)) is \(V=\frac{4}{3}\pi r^{3}\).

Answer:

Right Circular Cylinder - b. \(V=\pi r^{2}h\); Rectangular Solid - a. \(V = lwh\); Sphere - c. \(V=\frac{4}{3}\pi r^{3}\)