Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

A room has a floor size of 17 × 31 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**

$10{47/48}$ m.

**B**

$12{11/47}$ m.

**C**

$9{29/50}$ m.

**D**

$13{21/50}$ 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 = ${lb}/{l + b}$ = ${17 × 31}/{17 + 31}$ = ${527/48}$, which is same as: $10{47/48}$ m.

### Question 2

How much water flows per hour through a pipe of radius 10 cm, if water flows at 10 km/h?

**A**

100 π cu. m.

**B**

102 π cu. m.

**C**

98 π cu. m.

**D**

104 π 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 π × ${10 × 10 × 10 × 1000}/{100 × 100}$, which can easily be cancelled to get 100π cu. m.

### Question 3

What is the volume of a cone generated by rotating a right angled triangle with sides 25, 7 and 24 cm? The rotation is done about the side of length 24 cm.

### Question 4

What is the length of a 10 mm wire that has been drawn out of a lump of 77 cu. cm. tin? Take π = 22/7.

### Question 5

An iron tank 2 m × 3 m is filled with water upto a height of 2 m. What surface area of the tank is at a higher risk of corrosion?

### More Chapters | See All...

Alligations and Mixtures | Clocks and Calendars | Distance and Time | Mirror Images | Cubes and Dice | Probability | Inequalities | Venn Diagrams | Direction Sense Test | Sitting Arrangements | More...

This Blog Post/Article "Volume and Surface Areas Quiz Set 009" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.