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 197832 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 70 cm. Water is then drained from the container and the height of the water level from the base falls to 36 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 = 197832 mℓ
15 of Tank L = 197832 ÷ 4 = 49458 mℓ
55 of Tank L = 49458 x 5 = 247290 mℓ
1 ℓ = 1000 mℓ
Capacity of Tank L = 247290 mℓ = 247.29 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 - 2
= 54 cm
Volume of remaining water in Tank K
= 54 x 54 x 36
= 104976 cm
3 Volume of remaining water in Tank L
= 70 x 70 x 36
= 176400 cm
3 Total volume of remaining water in the tank
= 104976 + 176400
= 281376 cm
3
1 ℓ = 1000 cm
3 281376 cm
3 = 281.376 ℓ
Answer(s): (a) 247.29 ℓ; (b) 281.376 ℓ