Question

two similar buckets hold 13/1/2 and 4 litres respectively..find the ratio of their bucket and the height of the larger bucket is 36cm find the height of the smaller bucket​

Answer 1

`(a)\ Ratio = 13.5 : 4`

(b) The height of the smaller bucket is 10.7

Explanation:

Given

`V_L = 13(1)/(2)`

`V_S = 4`

`H_L = 36cm`

Solving (a): The ratios

This is represented as:

`Ratio = V_L : V_S`

So, we have:

`Ratio = 13(1)/(2) : 4`

Express as decimal

`Ratio = 13.5 : 4`

Solving (b): The height of the smaller bucket

The ratio of the heights is:

`Ratio = H_L : H_S`

So, we have:

`13.5 : 4 = H_L : H_S`

Substitute known value

`13.5 : 4 = 36 : H_S`

Express as fraction

`4/13.5 = H_S/36`

Multiply by 36

`36 * 4/13.5 = H_S`

`10.7 = H_S`

`H_S = 10.7`