## Volume and area measurement Mensuration questions for SSC CGL with answers

Volume and area measurement mensuration questions for SSC CGL Set 88 packs 10 selected questions that you have to answer in 15 mins and verify from answers.

This *10 problem question* set can effectively be used as a *mini-mock test on SSC CGL Mensuration*.

*After taking the test,* you may refer to the detailed solutions at * SSC CGL level Solution Set 88, Mensuration 8*, for step by step explanation of the solutions accompanied by suitable figures. In any case, the

*answers to the questions are given at the end.*

### Volume and area measurement mensuration questions SSC CGL 88 - Answering time 15 mins

**Problem 1.**

The volume of the metal of a cylindrical pipe is 748 $\text{cm}^3$. The length of the pipe is 14 cm and its external radius is 9 cm. Its thickness is, (Take $\pi=\frac{22}{7}$)

- 23 cm
- 3.7 cm
- 5.2 cm
- 1 cm

**Problem 2.**

The sum of areas of two circles touching externally is $130\pi$ sq cm and the distance between their centers is 14 cm. The radius of the larger circle is, (Take $\pi=\frac{22}{7}$)

- 22 cm
- 44 cm
- 11 cm
- 33 cm

**Problem 3.**

The sides of a triangle are in ratio 2 : 3 : 4. The perimeter of the triangle is 18 cm. The area (in $\text{cm}^2$) of the triangle is,

- $9$
- $36$
- $3\sqrt{15}$
- $\sqrt{42}$

**Problem 4.**

The inradius of a triangle is 4 cm and its area is 34 sq cm. The perimeter of the triangle is,

- 20 cm
- 17 cm
- 34 cm
- 8.5 cm

**Problem 5.**

The sum of radii of two spheres is $10\text{ cm}$ and sum of their volumes is $880\text{ cm}^3$. What will be the product of their radii?

- $33\frac{1}{3}$
- $26\frac{1}{3}$
- $21$
- $70$

**Problem 6.**

If the volume of a sphere is numerically equal to its surface area, then its diameter is,

- 6 cm
- 2 cm
- 3 cm
- 4 cm

**Problem 7.**

In $\triangle ABC$, AD and AE are bisectors of $\angle BAC$ and $\angle BAD$ respectively. If $\angle BAE=30^0$, AE = 9 cm and EC = 15 cm, what is the area (in $\text{cm}^2$) of $\triangle AEC$.

- 72
- 54
- 36
- 216

**Problem 8.**

If O is the centroid and AD, BE and CF are the three medians of $\triangle ABC$ with an area of 96 sq cm, then the area of $\triangle BOD$ (in $\text{cm}^2$) is,

- 8
- 12
- 24
- 16

**Problem 9.**

The area and length of one of the diagonals of a rhombus are 84 sq cm and 7 cm respectively. Find the length ( in cm) of the other diagonal.

- 36
- 12
- 24
- 48

** Problem 10.**

The smaller diagonal of a rhombus is equal to its length of its sides. If the length of each side is 6 cm, what is the area ( in sq cm) of an equilateral triangle whose side is the larger diagonal?

- $27\sqrt{3}$
- $18\sqrt{3}$
- $36\sqrt{3}$
- $32\sqrt{3}$

### Answers to the questions

**Problem 1. Answer:** Option d: 1 cm.

**Problem 2. Answer:** Option c : 11 cm.

**Problem 3. Answer:** Option c: $3\sqrt{15}$.

**Problem 4. Answer:** Option b: 17 cm.

**Problem 5. Answer:** Option b: $26\frac{1}{3}$.

**Problem 6. Answer:** Option a : 6 cm.

**Problem 7. Answer:** Option b: 54.

**Problem 8. Answer:** Option d: 16.

**Problem 9. Answer: **Option c: 24.

**Problem 10. Answer:** Option a: $27\sqrt{3}$.

### Other related question set and solution set on SSC CGL mensuration

**SSC CGL level Solution Set 88 on Mensuration 8**

**SSC CGL level Question Set 88 on Mensuration 8**

**SSC CGL level Solution Set 87 on Mensuration 7**

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**SSC CGL level Solution Set 42 on Mensuration 4**

**SSC CGL level Question Set 42 on Mensuration 4**

**SSC CGL level Solution Set 41 on Mensuration 3**

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**SSC CGL level Solution Set 27 on Mensuration 2**

**SSC CGL level Question Set 27 on Mensuration 2**

**SSC CGL level Solution Set 26 on Mensuration 1**

**SSC CGL level Question Set 26 on Mensuration 1**