Question

the radius of a cylindrical water tank is 4 ft, and its height is 9 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: Substitute the given values into the formula

We are given that \( r = 4\space\text{ft} \), \( h=9\space\text{ft} \) and \( \pi = 3.14 \). Substituting these values into the formula, we get:
\( V=3.14\times(4)^{2}\times9 \)

Step3: Calculate \( (4)^{2} \)

First, calculate \( 4^{2}=16 \). So the formula becomes \( V = 3.14\times16\times9 \)

Step4: Multiply 3.14 and 16

\( 3.14\times16 = 50.24 \). Now the formula is \( V=50.24\times9 \)

Step5: Multiply 50.24 and 9

\( 50.24\times9=452.16 \)

Step6: Round to the nearest whole number

Rounding \( 452.16 \) to the nearest whole number gives \( 452 \). The unit for volume of a three - dimensional object is cubic feet (\( \text{ft}^3 \)).

Answer:

\( 452\space\text{ft}^3 \)