Volume and Surface Areas Quiz Set 011

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Question 1

How much water flows per hour through a pipe of radius 49 cm, if water flows at 10 km/h? Take π = 22/7.

 A

7546 cu. m.

 B

7548 cu. m.

 C

7544 cu. m.

 D

7550 cu. m.

Soln.
Ans: a

In one hour, a water column of length 10 km is delivered through the cylindrical pipe. The equivalent volume is ${22 × 49 × 49 × 10 × 1000}/{7 × 100 × 100}$, which can easily be cancelled to get 7546 cu. m.


Question 2

What is the length of a 10 mm wire that has been drawn out of a lump of 88 cu. cm. tin? Take π = 22/7.

 A

2800 cm.

 B

2802 cm.

 C

2798 cm.

 D

2804 cm.

Soln.
Ans: a

The wire is a cylinder with r = 1/10 cm, and length L. The volume of tin is equal to the volume of the wire. So π ${1/10} × {1/10} × L$ = 88, which gives L = ${10 × 10 × 88 × 7}/22$ = 2800 cm.


Question 3

What is the length of an edge of a cube if the ratio of volume to the total surface area is 23 : 41?

 A

$3{15/41}$ units.

 B

$4{19/40}$ units.

 C

$2{11/43}$ units.

 D

$6{3/43}$ units.

Soln.
Ans: a

The well-known relation for a cube is $S/V = 6/a$, which can be re-arranged to get $a = 6 × V/S$ = ${138/41}$, which is same as: $3{15/41}$.


Question 4

A room has a floor size of 47 × 29 sq. m. What is the height of the room if the sum of the areas of the base and roof is equal to the sum of the areas of the four walls?

 A

$17{71/76}$ m.

 B

$19{14/75}$ m.

 C

$16{1/2}$ m.

 D

$20{31/78}$ m.

Soln.
Ans: a

Let h be the height, and l and b be the length and breadth. We are given lb + lb = lh + hb + lh + hb. Combining the terms and cancelling 2, we get lb = h(l + b), which gives h = ${lb}/{l + b}$ = ${47 × 29}/{47 + 29}$ = ${1363/76}$, which is same as: $17{71/76}$ m.


Question 5

What is the volume of rain water collected in a right cylindrical can of radius 1 cm, if 7 cm rainfall is recorded in the city?

 A

7 π cu. cm.

 B

9 π cu. cm.

 C

5 π cu. cm.

 D

11 π cu. cm.

Soln.
Ans: a

The height of the can will be filled to 7 cm. The volume of collected water is same as the volume of cylinder with radius 1 cm and height 7 cm., which equals π12 × 7 = 7π cu. cm.


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This Blog Post/Article "Volume and Surface Areas Quiz Set 011" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2019-08-18.

Posted by Parveen(Hoven),
Aptitude Trainer


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