Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

The areas of three adjacent faces of a cube are 3, 5 and 15. It's volume is?

### Question 2

What is the length of an edge of a cube if the ratio of volume to the total surface area is 7 : 2?

### Question 3

What is the volume of rain water collected in a right cylindrical can of radius 8 cm, if 5 cm rainfall is recorded in the city?

### Question 4

What is the volume of a right cone whose cross-section is an isosceles triangle with base 14 cm and __slant height__ 25 cm?

**A**

392 π sq. cm.

**B**

393 π sq. cm.

**C**

391 π sq. cm.

**D**

$131{2/3}$ π sq. cm.

**Soln.**

**Ans: a**

One of the right triangles of the isosceles triangle has its base = 14/2 = 7. By Pythagorean theorem, the height = $√{25^2 - 7^2}$ = $√{625 - 49}$ = 24. The radius of the base of the cone r = 7 cm, and height h = 24 cm. The volume is $1/3$π$(r^2 × h)$ = $1/3$π$(7^2 × 24)$ = 392π.

### Question 5

A cone of height 7 cm and radius of base 14 cm is made up of modeling clay. A child reshapes it in the form of a sphere. What is the radius of the sphere?

### More Chapters | See All...

Hidden Figures | Analogies | Venn Diagrams | Pipes and Cisterns | Time and Work | Permutations and Combinations | Problems on Numbers | Compound Interest | Cubes and Dice | Stocks and Shares | More...

This Blog Post/Article "Volume and Surface Areas Quiz Set 020" 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