The figure, not drawn to scale, is made of two connected cubical tanks, B and C. Tank B is sealed at the top and completely filled to the brim. Tank C is
23 filled with 157190 mℓ of water. The height of the water level in Tank C is 4 cm higher than that in Tank B. Height of Tank C is 66 cm. Water is then drained from the container and the height of the water level from the base falls to 29 cm.
- What is the capacity of Tank C in litres?
- What is the volume of water in the tank now in litres?
(a)
23 of Tank C = 157190 mℓ
13 of Tank C = 157190 ÷ 2 = 78595 mℓ
33 of Tank C = 78595 x 3 = 235785 mℓ
1 ℓ = 1000 mℓ
Capacity of Tank C = 235785 mℓ = 235.785 ℓ
(b)
Fraction of Tank C not filled
= 1 -
23 =
13 Height of Tank C not filled
=
13 x 66 cm
= 22 cm
Height of Tank B
= 66 - 22 - 4
= 40 cm
Volume of remaining water in Tank B
= 40 x 40 x 29
= 46400 cm
3 Volume of remaining water in Tank C
= 66 x 66 x 29
= 126324 cm
3 Total volume of remaining water in the tank
= 46400 + 126324
= 172724 cm
3
1 ℓ = 1000 cm
3 172724 cm
3 = 172.724 ℓ
Answer(s): (a) 235.785 ℓ; (b) 172.724 ℓ