A cylindrical tank has a diameter of 6 feet and a height of 10 feet. What is the calculated volume of the tank in cubic feet?

• A. 113.1
• B. 288.7
• C. 100.5
• D. 226.2

Answer: (B)

To calculate the volume of a cylindrical tank, you can use the formula:

[ \text{Volume} = \pi r^2 h ]

where ( r ) is the radius of the cylinder, and ( h ) is the height.

In this case, the diameter of the tank is given as 6 feet. The radius is half the diameter:

[ r = \frac{6 \text{ feet}}{2} = 3 \text{ feet} ]

The height ( h ) of the cylinder is given as 10 feet.

Now you can substitute the values into the volume formula:

[

\text{Volume} = \pi (3 \text{ feet})^2 (10 \text{ feet})

]

Calculating that step by step:

1. Calculate the area of the base:

[ (3 \text{ feet})^2 = 9 \text{ square feet} ]

2. Now multiply by the height:

[ 9 \text{ square feet} \times 10 \text{ feet} = 90 \text{ cubic feet} ]

3. Finally, include ( \pi ) in the calculation: