# Aptitude Volume and Surface Area Test Paper 2

6) In a shower 10 cm of rain falls. What is the volume of water that falls on 1.5 hectares of ground?

1. 1500 m3
2. 1400 m3
3. 1200 m3
4. 1000 m3

Explanation:

1 hectare = 10,000 m2
1.5 hectare = 1.5 x 10 x 1000 = 15,000 m2
Depth = 10 cm of rainfall = ∴ Volume of water = Area * Depth
15,000 * = 1500 m3

7) The dimensions of a piece of iron in the shape of a cuboid are 270 cm x 100 cm x 64 cm. If it is melted and recast into a cube, find the surface of the cube.

1. 14,400 cm2
2. 44,200 cm2
3. 57,600 cm2
4. 86,400 cm2

Explanation:

Volume of iron piece = l x b x h
= 270 x 100 x 64 = 1,728,000 cm3
Volume of cuboid = volume of cube
1,728,000 = a3
a Surface area of cube = 6 a2
= 6 x 1202= 86,400 cm2

8) Surface area of a sphere is 5544 cm2. Its volume will be

1. 30808 cm3
2. 38808 cm3
3. 380808 cm3
4. 380800 cm3

Explanation:

Surface area of sphere = 4 π r2=5544 cm2 Volume of a sphere 9) If two spheres have their radii in the ratio 2: 3, the ratio of their volumes is

1. 8 : 27
2. 4 : 9
3. 6 : 12
4. 1 : 15

Explanation:

Let the radius of both the spheres be 'r' and 'R', respectively.
r: R = 2: 3
Volume of sphere = Ratio between the volume of spheres = =8:27

10) The radius of hemisphere is 3 cm. The ratio of its volume to the total surface area is

1. 1: 3
2. 2: 1
3. 1: 1
4. 2: 3

Explanation:

Radius of hemisphere = 3 cm  Ratio = 2: 3

Aptitude Volume and Surface Area Test Paper 1
Aptitude Volume and Surface Area Test Paper 3
Aptitude Volume and Surface Area Test Paper 4
Aptitude Volume and Surface Area Test Paper 5   