We appreciate your visit to Cylinder A has a radius of 4 centimeters Cylinder B has a volume of tex 176 pi tex cubic centimeters What is the height of. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
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, [tex]\( r \)[/tex] is the radius, and [tex]\( h \)[/tex] is the height of the cylinder.
We know the following from the problem:
- The radius [tex]\( r \)[/tex] is 4 centimeters.
- The volume [tex]\( V \)[/tex] of Cylinder B is [tex]\( 176 \pi \)[/tex] cubic centimeters.
We need to find the height [tex]\( h \)[/tex]. We can rearrange the volume formula to solve for the height:
[tex]\[ h = \frac{V}{\pi r^2} \][/tex]
Let's plug in the known values:
[tex]\[ h = \frac{176 \pi}{\pi \times 4^2} \][/tex]
Simplify the expression:
1. Calculate [tex]\( r^2 = 4^2 = 16 \)[/tex].
2. Substitute [tex]\( r^2 \)[/tex] into the equation:
[tex]\[ h = \frac{176 \pi}{\pi \times 16} \][/tex]
3. The [tex]\(\pi\)[/tex] in the numerator and denominator cancels out:
[tex]\[ h = \frac{176}{16} \][/tex]
4. Divide 176 by 16 to find the height:
[tex]\[ h = 11 \][/tex]
Therefore, the height of Cylinder B is 11 centimeters.
[tex]\[ V = \pi r^2 h \][/tex]
where [tex]\( V \)[/tex] is the volume, [tex]\( r \)[/tex] is the radius, and [tex]\( h \)[/tex] is the height of the cylinder.
We know the following from the problem:
- The radius [tex]\( r \)[/tex] is 4 centimeters.
- The volume [tex]\( V \)[/tex] of Cylinder B is [tex]\( 176 \pi \)[/tex] cubic centimeters.
We need to find the height [tex]\( h \)[/tex]. We can rearrange the volume formula to solve for the height:
[tex]\[ h = \frac{V}{\pi r^2} \][/tex]
Let's plug in the known values:
[tex]\[ h = \frac{176 \pi}{\pi \times 4^2} \][/tex]
Simplify the expression:
1. Calculate [tex]\( r^2 = 4^2 = 16 \)[/tex].
2. Substitute [tex]\( r^2 \)[/tex] into the equation:
[tex]\[ h = \frac{176 \pi}{\pi \times 16} \][/tex]
3. The [tex]\(\pi\)[/tex] in the numerator and denominator cancels out:
[tex]\[ h = \frac{176}{16} \][/tex]
4. Divide 176 by 16 to find the height:
[tex]\[ h = 11 \][/tex]
Therefore, the height of Cylinder B is 11 centimeters.
Thanks for taking the time to read Cylinder A has a radius of 4 centimeters Cylinder B has a volume of tex 176 pi tex cubic centimeters What is the height of. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
