Question

note: figure is not drawn to scale.
if ( r = 11 ) units and ( x = 14 ) units, then what is the volume of the cylinder shown above?
a. ( 1,694pi ) cubic units
b. ( 154pi ) cubic units
c. ( 6,776pi ) cubic units
d. ( 550pi ) cubic units

Explanation:

Step1: Recall the formula for the volume of a cylinder

The volume \( V \) of a cylinder is given by the formula \( V=\pi r^{2}h \), where \( r \) is the radius of the base and \( h \) is the height of the cylinder. In this problem, \( r = 11 \) units and \( h=x = 14 \) units.

Step2: Substitute the values of \( r \) and \( h \) into the formula

Substitute \( r = 11 \) and \( h = 14 \) into \( V=\pi r^{2}h \). First, calculate \( r^{2}=(11)^{2}=121 \). Then, multiply by \( h \): \( 121\times14 = 1694 \). So, \( V=\pi\times121\times14=1694\pi \) cubic units.

Answer:

A. \( 1,694\pi \) cubic units