A tank contains some water up to a height of 10 cm. When 4 identical marbles are put into the tank, the water level rises by 8 cm. One marble is then removed from the tank and a metal block is put into the tank. The water level increases to 22 cm.
(a) Find the ratio of the volume of 1 marble to the metal block. [2 marks]
(b) If the base area of the tank is 450 cm², how much more is the volume of the metal block than that of two marbles? [3 marks]
[Answer given: (a) 1 : 3 (b) 900 cm³]
4 marbles --> 8 cm
1 marble --> 1/4 x 8 = 2 cm
8 - 2 = 6 cm
Metal block --> 22 - 10 - 6 = 6 cm
2 : 6 = 1 : 3 Since base area of tank is the same
a) The ratio of the volume of 1 marble to the metal block is 1 : 3.
6 - 2 x 2 = 2 cm
450 x 2 = 900 cm3
b) The volume of the metal block is 900 cm3 more than 2 marbles.
Subscribe to:
Post Comments (Atom)
No comments:
Post a Comment