Question

Can someone help me find the answer?

Answer 1

Height of larger cylinder = 7 ft

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]{(343)/(125) }` =
`(7)/(5)`

hence scale factor =
`(7)/(5)`

So height of larger cylinder = 5 × scale factor = 5×
`(7)/(5)` = 7ft

Answer 2

Height of larger cylinder is 13.72 ft

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)

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