Y and Z are two rectangular tanks. The base area of Y is 98 cm
2 while that of Z is 46 cm
2 . At first, Y contained water to a height of 34 cm and Z was empty, as shown.
- What was the volume of the water in Y at first?
- Vaidev then poured some water from Y to Z. After that, the height of the water level in Y was thrice that in Z. What was the new height of the water level in Y?
(a)
Volume of water in Y
= 98 x 34
= 3332 cm
3 (b)
Total base areas
= 98 x 3 + 46
= 340 cm
2 Height of water if the total base area is 340 cm
2 = 3332 ÷ 340
= 9.8 cm
New height of the water level in Y
= 9.8 x 3
= 29.4 cm
Answer(s): (a) 3332 cm
3; (b) 29.4 cm