QUIZ ON VOLUME AND SURFACE AREA
- A cube of 9 cm. is immersed completely in a rectangular vessel containing water. If the dimensions of base are 15 cm. and 12 cm. Then find the rise in water level in the vessel.
(a) 4 .05 cm.
(b) 6 cm.
(c) 8 cm.
(d) 9cm.
2. A cylindrical tub of radius 16cm. contains water to a depth of 30cm. A spherical iron ball is dropped into the tub and thus level of water is raised by 9cm. What is the radius of the ball?
(a ) 6 cm.
(b) 12 cm.
(c) 18 cm.
(d) 24 cm.
3. A cylindrical container with diameter of base 56cm. contains sufficient water to submerge a rectangular solid of iron with dimensions 32cm and22 cm. Find the rise in the level of the water when the solid is completely submerged.
(a) 6 cm.
(b) 4 cm.
(c) 8cm.
(d) 10 cm.
4. A cone of radius 5cm. is filled with water. If the water poured in a cylinder of radius 10cm. the height of the water rises 2cm., find the height of the cone.
(a) 20cm.
(b) 16 cm.
(c) 22 cm.
(d) 24 cm.
5.A sphere of diameter 6cm. is dropped in a right circular cylindrical vessel is 12cm. If the sphere is completely submerged in water,by how much will the level of water rise in the cylindrical vessel?
(a) 1cm
(b) 2 cm.
(c) 3cm.
(d) 4cm.
6. A cylindrical jar of radius 6 cm. contains oil.Iron spheres each of radius 1.5cm. are immersed in the oil. How many spheres are necessary to raise the level of the oil by 2cms.?
(a) 12
(b) 13
(c) 16
(d) 18
7. A cylindrical tub of radius 12cm. contains water to a depth of 20cm. A spherical ball of radius 9cm. is dropped into the tub and thus the level of water is raised by h cm.What is the value of h?
(a) 5.25 cm.
(b) 6cm.
(c) 6.75 cm.
(d) 4.5cm.
Answers :- 1. (a) 4.05 cm.
2. (b) 12 cm.
3. (b) 4 cm.
4. (d) 24 cm.
5. (a) 1cm.
6. (c) 16 cm.
7. (c) 6.75 cm.
