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Answer :
To find the height of cylinder B, we can use the formula for the volume of a cylinder:
[tex]\[ \text{Volume} = \pi \times (\text{radius})^2 \times (\text{height}) \][/tex]
We know that the volume of cylinder B is [tex]\( 176\pi \)[/tex] cubic centimeters, and the radius of cylinder B is 4 centimeters.
1. Start with the formula for the volume of a cylinder:
[tex]\[ V = \pi r^2 h \][/tex]
2. Plug in the known values. Replace [tex]\( V \)[/tex] with [tex]\( 176\pi \)[/tex] and [tex]\( r \)[/tex] with 4:
[tex]\[ 176\pi = \pi \times (4)^2 \times h \][/tex]
3. Simplify the equation by dividing both sides by [tex]\(\pi\)[/tex] to get rid of it:
[tex]\[ 176 = 4^2 \times h \][/tex]
4. Calculate [tex]\( 4^2 \)[/tex]:
[tex]\[ 4^2 = 16 \][/tex]
5. Substitute [tex]\( 16 \)[/tex] back into the equation:
[tex]\[ 176 = 16 \times h \][/tex]
6. Solve for [tex]\( h \)[/tex] by dividing both sides by 16:
[tex]\[ h = \frac{176}{16} \][/tex]
7. Calculate the division:
[tex]\[ h = 11 \][/tex]
Therefore, the height of cylinder B is 11 centimeters.
[tex]\[ \text{Volume} = \pi \times (\text{radius})^2 \times (\text{height}) \][/tex]
We know that the volume of cylinder B is [tex]\( 176\pi \)[/tex] cubic centimeters, and the radius of cylinder B is 4 centimeters.
1. Start with the formula for the volume of a cylinder:
[tex]\[ V = \pi r^2 h \][/tex]
2. Plug in the known values. Replace [tex]\( V \)[/tex] with [tex]\( 176\pi \)[/tex] and [tex]\( r \)[/tex] with 4:
[tex]\[ 176\pi = \pi \times (4)^2 \times h \][/tex]
3. Simplify the equation by dividing both sides by [tex]\(\pi\)[/tex] to get rid of it:
[tex]\[ 176 = 4^2 \times h \][/tex]
4. Calculate [tex]\( 4^2 \)[/tex]:
[tex]\[ 4^2 = 16 \][/tex]
5. Substitute [tex]\( 16 \)[/tex] back into the equation:
[tex]\[ 176 = 16 \times h \][/tex]
6. Solve for [tex]\( h \)[/tex] by dividing both sides by 16:
[tex]\[ h = \frac{176}{16} \][/tex]
7. Calculate the division:
[tex]\[ h = 11 \][/tex]
Therefore, the height of cylinder B is 11 centimeters.
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