The figure, not drawn to scale, is made of two connected cubical tanks, K and L. Tank K is sealed at the top and completely filled to the brim. Tank L is
45 filled with 160632 mℓ of water. The height of the water level in Tank L is 5 cm higher than that in Tank K. Height of Tank L is 70 cm. Water is then drained from the container and the height of the water level from the base falls to 24 cm.
- What is the capacity of Tank L in litres?
- What is the volume of water in the tank now in litres?
(a)
45 of Tank L = 160632 mℓ
15 of Tank L = 160632 ÷ 4 = 40158 mℓ
55 of Tank L = 40158 x 5 = 200790 mℓ
1 ℓ = 1000 mℓ
Capacity of Tank L = 200790 mℓ = 200.79 ℓ
(b)
Fraction of Tank L not filled
= 1 -
45 =
15 Height of Tank L not filled
=
15 x 70 cm
= 14 cm
Height of Tank K
= 70 - 14 - 5
= 51 cm
Volume of remaining water in Tank K
= 51 x 51 x 24
= 62424 cm
3 Volume of remaining water in Tank L
= 70 x 70 x 24
= 117600 cm
3 Total volume of remaining water in the tank
= 62424 + 117600
= 180024 cm
3
1 ℓ = 1000 cm
3 180024 cm
3 = 180.024 ℓ
Answer(s): (a) 200.79 ℓ; (b) 180.024 ℓ