Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### 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.

### 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?

### 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?

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 2020-02-07. Published on: 2016-05-11