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

Answer:

The height of the second cylinder is 30mm

Step-by-step 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

$\frac{15 }{ 45 }= \frac{10 }{ h}$

Simplify

$\frac{1 }{ 3}= \frac{10 }{ h}$

Cross multiply

$h *1 = 3 * 10$

$h = 30$