Question

the radius of a cylindrical water tank is 6.5 ft, and its height is 16 ft. what is the volume of the tank? use the value 3.14 for π, and round your answer to the nearest whole number. be sure to include the correct unit in your answer.

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 and \( h \) is the height.

Step2: Identify the values of \( r \) and \( h \)

From the problem, the radius \( r = 6.5\space ft \) and the height \( h=16\space ft \), and we use \( \pi = 3.14 \).

Step3: Calculate \( r^{2} \)

First, calculate \( r^{2}=(6.5)^{2}=6.5\times6.5 = 42.25 \).

Step4: Calculate \( \pi r^{2} \)

Substitute \( \pi = 3.14 \) and \( r^{2}=42.25 \) into \( \pi r^{2} \): \( 3.14\times42.25=132.665 \).

Step5: Calculate the volume \( V \)

Multiply \( \pi r^{2} \) by \( h \): \( V = 132.665\times16=2122.64 \).

Step6: Round to the nearest whole number

Rounding \( 2122.64 \) to the nearest whole number gives \( 2123 \). The unit for volume of a cylinder (with radius and height in feet) is cubic feet (\( ft^{3} \)).

Answer:

\( 2123\space ft^{3} \)