Question

If the cylinder above is similar to a second cylinder that has a radius of 10mm, what is the height of the second cylinder

Answer 1

The height of the second cylinder is 30mm

Explanation:

Given

Cylinder 1:

`R = 15mm`

`H = 45mm`

Cylinder 2

`r = 10mm`

See attachment

Required

Determine h, the height of the small one

To do this, we make use of the following equivalent ratios;

`R : H = r : h`

This gives:

`15 : 45 = 10 : h`

Express as fraction

`(15 )/( 45 )= (10 )/( h)`

Simplify

`(1 )/( 3)= (10 )/( h)`

Cross multiply

`h *1 = 3 * 10`

`h = 30`