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 107848 mℓ of water. The height of the water level in Tank L is 2 cm higher than that in Tank K. Height of Tank L is 60 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 L in litres?
- What is the volume of water in the tank now in litres?
(a)
45 of Tank L = 107848 mℓ
15 of Tank L = 107848 ÷ 4 = 26962 mℓ
55 of Tank L = 26962 x 5 = 134810 mℓ
1 ℓ = 1000 mℓ
Capacity of Tank L = 134810 mℓ = 134.81 ℓ
(b)
Fraction of Tank L not filled
= 1 -
45 =
15 Height of Tank L not filled
=
15 x 60 cm
= 12 cm
Height of Tank K
= 60 - 12 - 2
= 46 cm
Volume of remaining water in Tank K
= 46 x 46 x 29
= 61364 cm
3 Volume of remaining water in Tank L
= 60 x 60 x 29
= 104400 cm
3 Total volume of remaining water in the tank
= 61364 + 104400
= 165764 cm
3
1 ℓ = 1000 cm
3 165764 cm
3 = 165.764 ℓ
Answer(s): (a) 134.81 ℓ; (b) 165.764 ℓ