Question

1. the formula ( v=pi r^{2} h ) is used to calculate the ______ of a cylinder.

a. radius
b. volume
c. surface area
d. circumference

Explanation:

• The formula \(V=\pi r^{2}h\) is a well - known formula in geometry.
• In this formula, \(r\) represents the radius of the base of the cylinder and \(h\) represents the height of the cylinder.
• The formula for the radius of a cylinder (if we were to solve for \(r\)) would be \(r = \sqrt{\frac{V}{\pi h}}\) (rearranging \(V=\pi r^{2}h\)).
• The formula for the surface area of a cylinder is \(S = 2\pi r(r + h)\).
• The formula for the circumference of a cylinder (circumference of the base) is \(C=2\pi r\).
• Since \(V\) is a common symbol for volume in mathematics and the formula \(V=\pi r^{2}h\) (where we multiply the area of the base \(\pi r^{2}\) by the height \(h\)) is the standard formula for the volume of a cylinder.

Answer:

B. volume