What is the approximate total volume of a circular tank 30 feet in diameter and 15 feet deep?

What is the approximate total volume of a circular tank 30 feet in diameter and 15 feet deep?

• A. 5,284 gallons
• B. 10,597 gallons
• C. 42,390 gallons
• D. 79,300 gallons

Answer: (D)

To find the total volume of a circular tank, the formula for the volume of a cylinder is used, which is given by: \[ V = \pi r^2 h \] where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height (or depth in this case) of the tank. In this scenario, the diameter of the tank is 30 feet. The radius \( r \) can be calculated as half of the diameter, which results in: \[ r = \frac{30}{2} = 15 \text{ feet} \] The depth \( h \) of the tank is given as 15 feet. Substituting the values into the volume formula gives: \[ V = \pi (15)^2 (15) \] \[ V = \pi (225) (15) \] \[ V = \pi (3375) \] Using the approximation \( \pi \approx 3.14 \) for calculations: \[ V \approx 3.14 \times 3375 \approx 10523.75 \text{ cubic feet} \] To convert cubic feet into gallons, the conversion factor is approximately 7

To find the total volume of a circular tank, the formula for the volume of a cylinder is used, which is given by:

[ V = \pi r^2 h ]

where ( V ) is the volume, ( r ) is the radius, and ( h ) is the height (or depth in this case) of the tank.

In this scenario, the diameter of the tank is 30 feet. The radius ( r ) can be calculated as half of the diameter, which results in:

[ r = \frac{30}{2} = 15 \text{ feet} ]

The depth ( h ) of the tank is given as 15 feet.

Substituting the values into the volume formula gives:

[ V = \pi (15)^2 (15) ]

[ V = \pi (225) (15) ]

[ V = \pi (3375) ]

Using the approximation ( \pi \approx 3.14 ) for calculations:

[ V \approx 3.14 \times 3375 \approx 10523.75 \text{ cubic feet} ]

To convert cubic feet into gallons, the conversion factor is approximately 7