Math New Drill (Level 2) : Geometry (Solid figure) Problem 8 TOYOEIWA-2008


The vessel below is 10 cm in height and the bottom is the form which combined a rectangle and semicircles as shown in Fig. 1. 

Putting water into this vessel full and with attaching the portions of A and B to a floor, 45 degrees was leaned and water was spilt. 

Fig. 2 is a figure showing that it was seen from the side. 

Find the amount of the remaining water. 

Pi is assumed to be 3.14.
       




Answer
292.48 cm3

Solution

24 + 2 × 2 × 3.14 = 36.56 cm2

36.56 × 4 / 2 = 73.12 cm3

36.56 × 10 - 73.12 = 292.48 cm3