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 139392 mℓ of water. The height of the water level in Tank C is 3 cm higher than that in Tank B. Height of Tank C is 63 cm. Water is then drained from the container and the height of the water level from the base falls to 26 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 = 139392 mℓ
13 of Tank C = 139392 ÷ 2 = 69696 mℓ
33 of Tank C = 69696 x 3 = 209088 mℓ
1 ℓ = 1000 mℓ
Capacity of Tank C = 209088 mℓ = 209.088 ℓ
(b)
Fraction of Tank C not filled
= 1 -
23 =
13 Height of Tank C not filled
=
13 x 63 cm
= 21 cm
Height of Tank B
= 63 - 21 - 3
= 39 cm
Volume of remaining water in Tank B
= 39 x 39 x 26
= 39546 cm
3 Volume of remaining water in Tank C
= 63 x 63 x 26
= 103194 cm
3 Total volume of remaining water in the tank
= 39546 + 103194
= 142740 cm
3
1 ℓ = 1000 cm
3 142740 cm
3 = 142.74 ℓ
Answer(s): (a) 209.088 ℓ; (b) 142.74 ℓ