R and S are two rectangular tanks. The base area of R is 98 cm
2 while that of S is 49 cm
2 . At first, R contained water to a height of 56 cm and S was empty, as shown.
- What was the volume of the water in R at first?
- Neave then poured some water from R to S. After that, the height of the water level in R was twice that in S. What was the new height of the water level in R?
(a)
Volume of water in R
= 98 x 56
= 5488 cm
3 (b)
Total base areas
= 98 + 98 + 49
= 245 cm
2 Height of water if the total base area is 245 cm
2 = 5488 ÷ 245
= 22.4 cm
New height of the water level in R
= 22.4 x 2
= 44.8 cm
Answer(s): (a) 5488 cm
3; (b) 44.8 cm