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Answer :
To find the volume of a cylinder, we use the formula:
[tex]\[ V = \pi r^2 h \][/tex]
where [tex]\( r \)[/tex] is the radius of the cylinder's base, [tex]\( h \)[/tex] is the height, and [tex]\(\pi\)[/tex] is a constant approximately equal to 3.14159.
Here are the steps to solve this problem:
1. Find the radius: The diameter of the cylinder is 10 inches, so the radius (which is half of the diameter) is:
[tex]\[ r = \frac{10}{2} = 5 \, \text{inches} \][/tex]
2. Use the formula for volume: Now, plug the radius and height into the cylinder volume formula. The height is given as 20 inches.
[tex]\[ V = \pi \times (5)^2 \times 20 \][/tex]
3. Calculate [tex]\( \pi \times (5)^2 \)[/tex]:
[tex]\[ \pi \times 5^2 = \pi \times 25 \approx 78.54 \][/tex]
4. Calculate the volume:
[tex]\[ V = 78.54 \times 20 \approx 1,570.8 \][/tex]
Therefore, the volume of the cylinder is approximately 1,570.8 cubic inches.
Looking at the provided options, the closest value to our calculation is:
OB. 1,570 cu. in.
[tex]\[ V = \pi r^2 h \][/tex]
where [tex]\( r \)[/tex] is the radius of the cylinder's base, [tex]\( h \)[/tex] is the height, and [tex]\(\pi\)[/tex] is a constant approximately equal to 3.14159.
Here are the steps to solve this problem:
1. Find the radius: The diameter of the cylinder is 10 inches, so the radius (which is half of the diameter) is:
[tex]\[ r = \frac{10}{2} = 5 \, \text{inches} \][/tex]
2. Use the formula for volume: Now, plug the radius and height into the cylinder volume formula. The height is given as 20 inches.
[tex]\[ V = \pi \times (5)^2 \times 20 \][/tex]
3. Calculate [tex]\( \pi \times (5)^2 \)[/tex]:
[tex]\[ \pi \times 5^2 = \pi \times 25 \approx 78.54 \][/tex]
4. Calculate the volume:
[tex]\[ V = 78.54 \times 20 \approx 1,570.8 \][/tex]
Therefore, the volume of the cylinder is approximately 1,570.8 cubic inches.
Looking at the provided options, the closest value to our calculation is:
OB. 1,570 cu. in.
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Rewritten by : Jeany
