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Answer :
To find the volume of a cylinder, you can use the formula:
[tex]\[ \text{Volume} = \pi \times \text{radius}^2 \times \text{height} \][/tex]
Here's how you can solve the problem step-by-step:
1. Identify the Diameter and Height:
The diameter of the cylinder is given as 10 inches, and the height is given as 20 inches.
2. Calculate the Radius:
The radius is half of the diameter. So, the radius is:
[tex]\[ \text{radius} = \frac{\text{diameter}}{2} = \frac{10}{2} = 5 \text{ inches} \][/tex]
3. Calculate the Volume:
You can now substitute the radius and height into the volume formula:
[tex]\[ \text{Volume} = \pi \times (5 \text{ inches})^2 \times 20 \text{ inches} \][/tex]
4. Simplify the Expression:
First, calculate the square of the radius:
[tex]\[ (5 \text{ inches})^2 = 25 \text{ square inches} \][/tex]
Next, multiply by the height:
[tex]\[ 25 \text{ square inches} \times 20 \text{ inches} = 500 \text{ cubic inches} \][/tex]
5. Multiply by π (pi):
Multiply 500 cubic inches by π (approximately 3.14159):
[tex]\[ 500 \times 3.14159 \approx 1570.8 \text{ cubic inches} \][/tex]
So, the volume of the cylinder is approximately 1570.8 cubic inches. According to the given options, the best answer is:
D. 1,570 cu. in.
[tex]\[ \text{Volume} = \pi \times \text{radius}^2 \times \text{height} \][/tex]
Here's how you can solve the problem step-by-step:
1. Identify the Diameter and Height:
The diameter of the cylinder is given as 10 inches, and the height is given as 20 inches.
2. Calculate the Radius:
The radius is half of the diameter. So, the radius is:
[tex]\[ \text{radius} = \frac{\text{diameter}}{2} = \frac{10}{2} = 5 \text{ inches} \][/tex]
3. Calculate the Volume:
You can now substitute the radius and height into the volume formula:
[tex]\[ \text{Volume} = \pi \times (5 \text{ inches})^2 \times 20 \text{ inches} \][/tex]
4. Simplify the Expression:
First, calculate the square of the radius:
[tex]\[ (5 \text{ inches})^2 = 25 \text{ square inches} \][/tex]
Next, multiply by the height:
[tex]\[ 25 \text{ square inches} \times 20 \text{ inches} = 500 \text{ cubic inches} \][/tex]
5. Multiply by π (pi):
Multiply 500 cubic inches by π (approximately 3.14159):
[tex]\[ 500 \times 3.14159 \approx 1570.8 \text{ cubic inches} \][/tex]
So, the volume of the cylinder is approximately 1570.8 cubic inches. According to the given options, the best answer is:
D. 1,570 cu. in.
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Rewritten by : Jeany
