What is the volume of a cylinder with a diameter of 8' and height of 15'?

What is the volume of a cylinder with a diameter of 8' and height of 15'?

• A. 500 ft³
• B. 653.2 ft³
• C. 753.6 ft³
• D. 800 ft³

Answer: (C)

To determine the volume of a cylinder, the formula used is: \[ V = \pi r^2 h \] where \( V \) is the volume, \( r \) is the radius of the cylinder, and \( h \) is the height. 1. First, calculate the radius. The diameter of the cylinder is given as 8 feet. The radius is half of the diameter, so: \[ r = \frac{8'}{2} = 4' \] 2. Next, substitute the radius and the height into the volume formula. The height, given, is 15 feet. Plugging the values into the formula yields: \[ V = \pi (4')^2 (15') \] 3. Calculate \( (4')^2 \): \[ (4')^2 = 16 \text{ ft}^2 \] 4. Now plug this value back into the equation: \[ V = \pi (16 \text{ ft}^2) (15') \] 5. Multiply 16 by 15: \[ 16 \times 15 = 240 \text{ ft}^3 \] 6. Finally, multiply by \( \pi \) (approximately

To determine the volume of a cylinder, the formula used is:

[ V = \pi r^2 h ]

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

1. First, calculate the radius. The diameter of the cylinder is given as 8 feet. The radius is half of the diameter, so:

[ r = \frac{8'}{2} = 4' ]

2. Next, substitute the radius and the height into the volume formula. The height, given, is 15 feet. Plugging the values into the formula yields:

[ V = \pi (4')^2 (15') ]

3. Calculate ( (4')^2 ):

[ (4')^2 = 16 \text{ ft}^2 ]

4. Now plug this value back into the equation:

[ V = \pi (16 \text{ ft}^2) (15') ]

5. Multiply 16 by 15:

[ 16 \times 15 = 240 \text{ ft}^3 ]

6. Finally, multiply by ( \pi ) (approximately