The diagram shows 3 tanks of different dimensions, each separated by a partition. Tank E, measuring 53 m by 35 m by 28 m, is filled with water to its brim. Tank D is an empty cuboidal container with a length of 22 m. Slider 1 is lifted to release
34 of the water from Tank E to Tank D, after which the partition is slid down to separate Tank E and Tank D. Next, Slider 2 is removed and some water from Tank D flows into Tank C such that the height of the water level of Tank D and Tank C is 7 m.
- What is the length of Tank C?
- How many m3 of water are there in Tank D?
(a)
Volume of water in the Tank E that flows into the Tank D
= 53 x 35 x 28 x
34 = 38955 m
3 Base area of Tank D and Tank C
= 38955 ÷ 7
= 5565 m
2 Length of Tank C and Tank D
= 5565 ÷ 35
= 159 m
Length of Tank C
= 159 - 22
= 137 m
(b)
Volume of water in Tank D
= 22 x 35 x 7
= 5390 m
3 Answer(s): (a) 137 m; (b) 5390 m
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