Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

What is the weight of a hollow cylindrical pipe 49 cm long, and having internal and external radii as 4 and 6 cm? The pipe is made of a metal of density 2 gm/cc. Take π = 22/7.

### Question 2

What is the volume of a cone generated by rotating a right angled triangle with sides 41, 9 and 40 cm? The rotation is done about the side of length 40 cm.

### Question 3

A cone of height 2 cm and radius of base 4 cm is made up of modeling clay. A child reshapes it in the form of a sphere. What is the radius of the sphere?

### Question 4

A cuboid block of wood 7 × 14 × 7 is horizontally placed on a table. Then another cube of side 7 is placed on this block. How much surface area is exposed to air?

**A**

588 sq. units.

**B**

590 sq. units.

**C**

586 sq. units.

**D**

592 sq. units.

**Soln.**

**Ans: a**

Let the dimensions of the cuboid be L, 2L and L. Its total surface area is 2(L × 2L + 2L × L + L × L) = 10L^{2}. When it is placed on the table, the bottom face is hidden, so net visible area is 10L^{2} - 2L^{2} = 8L^{2}. When the cubical block of side L is placed on this block its(i.e., cube's) own L^{2} and L^{2} of the cuboidal block is hidden. So it hides 2L^{2}. Thus, the net visible is 8L^{2} + 6L^{2} - 2L^{2} = 12L^{2} = 12 × 7^{2} = 588 sq. units.

### Question 5

What is the volume of rain water collected in a right cylindrical can of radius 8 cm, if 3 cm rainfall is recorded in the city?

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This Blog Post/Article "Volume and Surface Areas Quiz Set 014" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.