Answer :
To find the height of Cylinder B, we can use the formula for the volume of a cylinder:
[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.
For Cylinder B:
- The radius [tex]\( r \)[/tex] is given as 4 cm,
- The volume [tex]\( V \)[/tex] is given as [tex]\( 176 \pi \)[/tex] cubic centimeters.
We need to find the height [tex]\( h \)[/tex]. To do this, we can rearrange the formula to solve for [tex]\( h \)[/tex]:
[tex]\[ h = \frac{V}{\pi r^2} \][/tex]
Substituting the known values into this formula:
[tex]\[ h = \frac{176\pi}{\pi \times (4^2)} \][/tex]
Simplify the expression:
[tex]\[ h = \frac{176\pi}{\pi \times 16} \][/tex]
Cancel out the [tex]\( \pi \)[/tex] on the numerator and the denominator:
[tex]\[ h = \frac{176}{16} \][/tex]
[tex]\[ h = 11 \][/tex]
Thus, the height of Cylinder B is 11 cm.
[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.
For Cylinder B:
- The radius [tex]\( r \)[/tex] is given as 4 cm,
- The volume [tex]\( V \)[/tex] is given as [tex]\( 176 \pi \)[/tex] cubic centimeters.
We need to find the height [tex]\( h \)[/tex]. To do this, we can rearrange the formula to solve for [tex]\( h \)[/tex]:
[tex]\[ h = \frac{V}{\pi r^2} \][/tex]
Substituting the known values into this formula:
[tex]\[ h = \frac{176\pi}{\pi \times (4^2)} \][/tex]
Simplify the expression:
[tex]\[ h = \frac{176\pi}{\pi \times 16} \][/tex]
Cancel out the [tex]\( \pi \)[/tex] on the numerator and the denominator:
[tex]\[ h = \frac{176}{16} \][/tex]
[tex]\[ h = 11 \][/tex]
Thus, the height of Cylinder B is 11 cm.
