The figure, not drawn to scale, is made of two connected cubical tanks, Z and A. Tank Z is sealed at the top and completely filled to the brim. Tank A is ³₄ filled with 149817 mℓ of water. The height of the water level in Tank A is 4 cm higher than that in Tank Z. Height of Tank A is 70 cm. Water is then drained from the container and the height of the water level from the base falls to 24 cm.

1. What is the capacity of Tank A in litres?
2. What is the volume of water in the tank now in litres?

(a)
³₄ of Tank A = 149817 mℓ
¹₄ of Tank A = 149817 ÷ 3 = 49939 mℓ
⁴₄ of Tank A = 49939 x 4 = 199756 mℓ

1 ℓ = 1000 mℓ

Capacity of Tank A = 199756 mℓ = 199.756 ℓ

(b)
Fraction of Tank A not filled
= 1 - ³₄
= ¹₄

Height of Tank A not filled
= ¹₄ x 70 cm
= 17.5 cm

Height of Tank Z
= 70 - 17.5 - 4
= 48.5 cm

Volume of remaining water in Tank Z
= 48.5 x 48.5 x 24
= 56454 cm³ 

Volume of remaining water in Tank A
= 70 x 70 x 24
= 117600 cm³ 

Total volume of remaining water in the tank
= 56454 + 117600
= 174054 cm³

1 ℓ = 1000 cm³
174054 cm³ = 174.054 ℓ

Answer(s): (a) 199.756 ℓ; (b) 174.054 ℓ