Volume and Surface Areas Quiz Set 013


Your Score
Correct Answers:
Wrong Answers:
Unattempted:

Question 1

How many boxes measuring 1 m × 1m × 1 m should be dropped into a water tank 4 m × 7 m so that the water level rises by 1 m?

 A

28 .

 B

30 .

 C

26 .

 D

32 .

Soln.
Ans: a

The volume of water to be displaced is 4 × 7 × 1 cu. m. This should be equal to the volume of the boxes to be dropped. So N × 1 × 1 × 1 = 4 × 7 × 1, which gives N = 4 × 7 = 28.


Question 2

What is the weight of a hollow cylindrical pipe 63 cm long, and having internal and external radii as 9 and 11 cm? The pipe is made of a metal of density 2 gm/cc. Take π = 22/7.

 A

15840 gm.

 B

15842 gm.

 C

15838 gm.

 D

15844 gm.

Soln.
Ans: a

The volume of the pipe is π × (112 - 92) × 63, which is $22/7$ × 40 × 63. Weight = vol × density = $22/7$ × 40 × 63 × 2 = 15840 gm.


Question 3

What is the volume of a right cone whose cross-section is an isosceles triangle with base 10 cm and height 12 cm?

 A

100 π sq. cm.

 B

101 π sq. cm.

 C

99 π sq. cm.

 D

$34{1/3}$ π sq. cm.

Soln.
Ans: a

The radius of the base of the cone r = 5 cm, and height h = 12 cm. The volume is $1/3$π$(r^2 × h)$ = $1/3$π$(5^2 × 12)$ = 100π.


Question 4

When a weight W kg. is kept on a 7 m × 3 m boat floating over a lake, it sinks by 7 cm. What is W, if the density of water is 1000 kg/cu. m?

 A

1470 kg.

 B

1472 kg.

 C

1468 kg.

 D

1474 kg.

Soln.
Ans: a

The weight W is equal to the weight of water displaced by it. So W = ${7 × 3 × (7/100)}$ × 1000 = 1470 kg.


Question 5

When a weight W kg. is kept on a 4 m × 3 m boat floating over a lake, it sinks by 5 cm. What is W, if the density of water is 1000 kg/cu. m?

 A

600 kg.

 B

602 kg.

 C

598 kg.

 D

604 kg.

Soln.
Ans: a

The weight W is equal to the weight of water displaced by it. So W = ${4 × 3 × (5/100)}$ × 1000 = 600 kg.


buy aptitude video tutorials


Creative Commons License
This Blog Post/Article "Volume and Surface Areas Quiz Set 013" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2020-02-07. Published on: 2016-05-11

Posted by Parveen(Hoven),
Aptitude Trainer


Comments and Discussion