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### Question 1

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

### Question 2

What is the volume of a right cone whose cross-section is an isosceles triangle with base 30 cm and height 8 cm?

### Question 3

What is the radius of a sphere if the ratio of volume to the surface area is 3 : 5?

### Question 4

An iron tank 5 m × 3 m is filled with water upto a height of 4 m. What surface area of the tank is at a higher risk of corrosion?

### Question 5

How much water flows per hour through a pipe of radius 14 cm, if water flows at 10 km/h? Take π = 22/7.

**A**

616 cu. m.

**B**

618 cu. m.

**C**

614 cu. m.

**D**

620 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 ${22 × 14 × 14 × 10 × 1000}/{7 × 100 × 100}$, which can easily be cancelled to get 616 cu. m.

This Blog Post/Article "Volume and Surface Areas Quiz Set 018" 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