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### Question 1

The slant height of a right conical tent of height 21 m is 29 m. What is the curved surface area?

### Question 2

What is the volume of a right cone whose cross-section is an isosceles triangle with base 6 cm and height 4 cm?

### Question 3

What is the volume of a cone generated by rotating a right angled triangle with sides 29, 21 and 20 cm? The rotation is done about the side of length 20 cm.

### Question 4

How much water flows per hour through a pipe of radius 17 cm, if water flows at 10 km/h?

**A**

289 π cu. m.

**B**

291 π cu. m.

**C**

287 π cu. m.

**D**

293 π 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 π × ${17 × 17 × 10 × 1000}/{100 × 100}$, which can easily be cancelled to get 289π cu. m.

### Question 5

What is the surface area of the cuboid obtained by joining two equal cubes of 64 cu. cm volume each?

**A**

160 sq. cm.

**B**

162 sq. cm.

**C**

158 sq. cm.

**D**

164 sq. cm.

**Soln.**

**Ans: a**

Let the side of a cube be L. Then L^{3} = 64, which gives L = 4. The resulting cuboid has L = L, H = L, and B = 2L. The surface area is 2 × (LB + BH + HL) = 2 × (2L^{2} + 2L^{2} + L^{2}) = 10 × L^{2} = 10 × 4^{2} = 160 sq. cm.

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This Blog Post/Article "Volume and Surface Areas Quiz Set 003" 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