A and B are two similar cylindrical containers - Edexcel - GCSE Maths - Question 18 - 2019 - Paper 1

The volume ratio can be derived from the ratio of corresponding lengths raised to the power of 3:

$\frac{V_A}{V_B} = \left(\frac{l_A}{l_B}\right)^3 = \left(\frac{2}{3}\right)^3 = \frac{8}{27}$

Let the volume of container A be 8 units. Then the volume of container B can be calculated as follows:

If the volume of container A is 8 units, then the corresponding volume of container B:

$V_B = \frac{27}{8} \times V_A = \frac{27}{8} \times 8 = 27\text{ units}$

Thus, the number of times container A is filled to fill container B is:

$\frac{V_B}{V_A} = \frac{27}{8} = 3.375\text{ times}$

Since Tyler cannot fill container A a fractional number of times in practice, he fills it 4 times to fill container B.