The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank F, measuring 41 m by 32 m by 30 m, is filled with water to its brim. Tank E is an empty cuboidal container with a length of 30 m. Slider 1 is lifted to release ³₅ of the water from Tank F to Tank E, after which the partition is slid down to separate Tank F and Tank E. Next, Slider 2 is removed and some water from Tank E flows into Tank D such that the height of the water level of Tank E and Tank D is 9 m.

1. What is the length of Tank D?
2. How many m³ of water are there in Tank E?

(a)
Volume of water in the Tank F that flows into the Tank E
= 41 x 32 x 30 x ³₅ 
= 23616 m³ 

Base area of Tank E and Tank D
= 23616 ÷ 9
= 2624 m² 

Length of Tank D and Tank E
= 2624 ÷ 32
= 82 m

Length of Tank D
= 82 - 30
= 52 m

(b)
Volume of water in Tank E
= 30 x 32 x 9
= 8640 m³ 

Answer(s): (a) 52 m; (b) 8640 m³