The figure, not drawn to scale, is made of two connected cubical tanks, V and W. Tank V is sealed at the top and completely filled to the brim. Tank W is
35 filled with 158535 mℓ of water. The height of the water level in Tank W is 5 cm higher than that in Tank V. Height of Tank W is 65 cm. Water is then drained from the container and the height of the water level from the base falls to 34 cm.
- What is the capacity of Tank W in litres?
- What is the volume of water in the tank now in litres?
(a)
35 of Tank W = 158535 mℓ
15 of Tank W = 158535 ÷ 3 = 52845 mℓ
55 of Tank W = 52845 x 5 = 264225 mℓ
1 ℓ = 1000 mℓ
Capacity of Tank W = 264225 mℓ = 264.225 ℓ
(b)
Fraction of Tank W not filled
= 1 -
35 =
25 Height of Tank W not filled
=
25 x 65 cm
= 26 cm
Height of Tank V
= 65 - 26 - 5
= 34 cm
Volume of remaining water in Tank V
= 34 x 34 x 34
= 39304 cm
3 Volume of remaining water in Tank W
= 65 x 65 x 34
= 143650 cm
3 Total volume of remaining water in the tank
= 39304 + 143650
= 182954 cm
3
1 ℓ = 1000 cm
3 182954 cm
3 = 182.954 ℓ
Answer(s): (a) 264.225 ℓ; (b) 182.954 ℓ