Question

Can someone help me find the answer?

Answer 1

Answer:

Height of larger cylinder =  7 ft

Step-by-step explanation:

We have given two similar cylinders,

Volume of larger cylinder = 343 $ft^{3}$

Volume of smaller cylinder = 125 $ft^{3}$

Height of smaller cylinder = 5 ft

Scale factor can be determined using two volume given :

For volume, Scale factor = $\sqrt[3]{\frac{343}{125} }$ = $\frac{7}{5}$

hence scale factor = $\frac{7}{5}$

So height of larger cylinder = 5 × scale factor = 5×$\frac{7}{5}$ = 7ft

Answer 2

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$r^2 h$  where r is radius and h is the height

Let height of larger be H and smaller is 5 ft (given)

$\frac{volume of larger}{volume of smaller} = \frac{\pi r^2H }{\pi r^2 (5) } = \frac{343}{125} \\on simplifying it ,we get \\H =\frac{343X 5}{125} \\H=13.72 ft$