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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,
- [tex]\( r \)[/tex] is the radius of the base of the cylinder, and
- [tex]\( h \)[/tex] is the height of the cylinder.
Given:
- Radius ([tex]\( r \)[/tex]) = 10 cm
- Height ([tex]\( h \)[/tex]) = 22 cm
Let's calculate the volume step-by-step:
1. Calculate the area of the base:
The base is a circle with radius 10 cm.
Area of the circle = [tex]\( \pi \times r^2 = \pi \times 10^2 \)[/tex].
2. Calculate [tex]\( 10^2 \)[/tex]:
[tex]\( 10^2 = 100 \)[/tex].
3. Calculate [tex]\( \pi \times 100 \)[/tex]:
Approximating [tex]\(\pi \)[/tex] as 3.14159, we get:
[tex]\( \pi \times 100 \approx 314.159 \)[/tex].
4. Calculate the volume:
Multiply the area of the base by the height of the cylinder:
Volume = [tex]\( \pi \times 100 \times 22 \)[/tex].
5. Calculate [tex]\( 314.159 \times 22 \)[/tex]:
This gives the volume, which is approximately [tex]\( 6911.5 \, \text{cm}^3 \)[/tex].
Therefore, the volume of the cylinder is approximately [tex]\( 6,911.5 \, \text{cm}^3 \)[/tex].
[tex]\[ V = \pi r^2 h \][/tex]
where:
- [tex]\( V \)[/tex] is the volume,
- [tex]\( r \)[/tex] is the radius of the base of the cylinder, and
- [tex]\( h \)[/tex] is the height of the cylinder.
Given:
- Radius ([tex]\( r \)[/tex]) = 10 cm
- Height ([tex]\( h \)[/tex]) = 22 cm
Let's calculate the volume step-by-step:
1. Calculate the area of the base:
The base is a circle with radius 10 cm.
Area of the circle = [tex]\( \pi \times r^2 = \pi \times 10^2 \)[/tex].
2. Calculate [tex]\( 10^2 \)[/tex]:
[tex]\( 10^2 = 100 \)[/tex].
3. Calculate [tex]\( \pi \times 100 \)[/tex]:
Approximating [tex]\(\pi \)[/tex] as 3.14159, we get:
[tex]\( \pi \times 100 \approx 314.159 \)[/tex].
4. Calculate the volume:
Multiply the area of the base by the height of the cylinder:
Volume = [tex]\( \pi \times 100 \times 22 \)[/tex].
5. Calculate [tex]\( 314.159 \times 22 \)[/tex]:
This gives the volume, which is approximately [tex]\( 6911.5 \, \text{cm}^3 \)[/tex].
Therefore, the volume of the cylinder is approximately [tex]\( 6,911.5 \, \text{cm}^3 \)[/tex].
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