Question

a cylindrical storage container has a radius of 2 inches and a height of 6 inches. how much material is needed to fill half the containers volume?
a. 48π in³
b. 12π in³
c. 24π in³
d. 36π in³
what unit can be used to measure the volume of a cylinder?
a. cubic centimeters
b. inches
c. meters
d. square centimeters

Explanation:

Step1: Recall volume formula for cylinder

The volume formula for a cylinder is $V = \pi r^{2}h$, where $r$ is the radius and $h$ is the height. Given $r = 2$ inches and $h=6$ inches.

Step2: Calculate full - volume of cylinder

$V=\pi\times(2)^{2}\times6=\pi\times4\times6 = 24\pi$ cubic inches.

Step3: Calculate half - volume of cylinder

Half of the volume is $\frac{1}{2}\times24\pi = 12\pi$ cubic inches.

For the second question:
Volume is measured in cubic units. Inches and meters are linear units, and square centimeters is a unit for area. Cubic centimeters is a unit for volume.

Answer:

1. B. $12\pi$ in$^{3}$
2. A. Cubic centimeters