Answer:
Height of larger cylinder is 13.72 ft
Step-by-step explanation:
If the cylinders are similar then their radius is suppose to be same .
formula for volume is π[tex]r^2 h[/tex] where r is radius and h is the height
Let height of larger be H and smaller is 5 ft (given)
[tex]\frac{volume of larger}{volume of smaller} = \frac{\pi r^2H }{\pi r^2 (5) } = \frac{343}{125} \\on simplifying it ,we get \\H =\frac{343X 5}{125} \\H=13.72 ft[/tex]
Answer:
Height of larger cylinder = 7 ft
Step-by-step explanation:
We have given two similar cylinders,
Volume of larger cylinder = 343 [tex]ft^{3}[/tex]
Volume of smaller cylinder = 125 [tex]ft^{3}[/tex]
Height of smaller cylinder = 5 ft
Scale factor can be determined using two volume given :
For volume, Scale factor = [tex]\sqrt[3]{\frac{343}{125} }[/tex] = [tex]\frac{7}{5}[/tex]
hence scale factor = [tex]\frac{7}{5}[/tex]
So height of larger cylinder = 5 × scale factor = 5×[tex]\frac{7}{5}[/tex] = 7ft
