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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]\( V \)[/tex] is the volume of the cylinder,
- [tex]\( r \)[/tex] is the radius of the cylinder,
- [tex]\( h \)[/tex] is the height of the cylinder,
- [tex]\( \pi \)[/tex] (pi) is approximately 3.14159.
Given:
- Radius, [tex]\( r = 10 \)[/tex] cm,
- Height, [tex]\( h = 22 \)[/tex] cm.
Let's compute the volume step-by-step:
1. First, square the radius:
[tex]\[ r^2 = 10^2 = 100 \, \text{cm}^2 \][/tex]
2. Now, multiply this value by the height:
[tex]\[ 100 \, \text{cm}^2 \times 22 \, \text{cm} = 2200 \, \text{cm}^3 \][/tex]
3. Finally, multiply this result by [tex]\( \pi \)[/tex]:
[tex]\[ V = 2200 \, \text{cm}^3 \times 3.14159 = 6911.5 \, \text{cm}^3 \][/tex]
Thus, the volume of the cylinder is approximately [tex]\( 6911.5 \, \text{cm}^3 \)[/tex].
So, the correct choice in the given options is:
[tex]\[ \boxed{6911.5 \, \text{cm}^3} \][/tex]
[tex]\[ V = \pi r^2 h \][/tex]
where:
- [tex]\( V \)[/tex] is the volume of the cylinder,
- [tex]\( r \)[/tex] is the radius of the cylinder,
- [tex]\( h \)[/tex] is the height of the cylinder,
- [tex]\( \pi \)[/tex] (pi) is approximately 3.14159.
Given:
- Radius, [tex]\( r = 10 \)[/tex] cm,
- Height, [tex]\( h = 22 \)[/tex] cm.
Let's compute the volume step-by-step:
1. First, square the radius:
[tex]\[ r^2 = 10^2 = 100 \, \text{cm}^2 \][/tex]
2. Now, multiply this value by the height:
[tex]\[ 100 \, \text{cm}^2 \times 22 \, \text{cm} = 2200 \, \text{cm}^3 \][/tex]
3. Finally, multiply this result by [tex]\( \pi \)[/tex]:
[tex]\[ V = 2200 \, \text{cm}^3 \times 3.14159 = 6911.5 \, \text{cm}^3 \][/tex]
Thus, the volume of the cylinder is approximately [tex]\( 6911.5 \, \text{cm}^3 \)[/tex].
So, the correct choice in the given options is:
[tex]\[ \boxed{6911.5 \, \text{cm}^3} \][/tex]
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Rewritten by : Jeany
