Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

The slant height of a right conical tent of height 9 m is 41 m. What is the curved surface area?

### Question 2

What is the weight of a hollow cylindrical pipe 42 cm long, and having internal and external radii as 13 and 15 cm? The pipe is made of a metal of density 3 gm/cc. Take π = 22/7.

### Question 3

What is the volume of a right cone whose cross-section is an isosceles triangle with base 32 cm and __slant height__ 34 cm?

**A**

2560 π sq. cm.

**B**

2561 π sq. cm.

**C**

2559 π sq. cm.

**D**

$854{1/3}$ π sq. cm.

**Soln.**

**Ans: a**

One of the right triangles of the isosceles triangle has its base = 32/2 = 16. By Pythagorean theorem, the height = $√{34^2 - 16^2}$ = $√{1156 - 256}$ = 30. The radius of the base of the cone r = 16 cm, and height h = 30 cm. The volume is $1/3$π$(r^2 × h)$ = $1/3$π$(16^2 × 30)$ = 2560π.

### Question 4

What is the radius of a sphere if the ratio of volume to the surface area is 31 : 41?

### Question 5

What is the volume of rain water collected in a right cylindrical can of radius 8 cm, if 4 cm rainfall is recorded in the city?

This Blog Post/Article "Volume and Surface Areas Quiz Set 005" 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