# Practice Test: Question Set - 02

**1. The lateral surface of a cylinder is developed in a square whose diagonal is √2 cm long. The volume of the cylinder in cubic cm is:**

- (A) 1/4π

- (B) 2/π

- (C) 3π/4

- (D) 2π

**2. The length, breadth and height of a rectangular solid are 10 cm, 5 cm and 2 cm respectively. Its whole surface area in sq. cm is:**

- (A) 7

- (B) 70

- (C) 140

- (D) 280

**3. If a solid metal cylinder of radius 4 cm and height 10 cm is melted to make solid balls of radius 1 mm, the number of such balls produced is:**

- (A) 0.8 lakh

- (B) 1.0 lakh

- (C) 1.2 lakh

- (D) 1.4 lakh

**4. If the numerical value of the curved surface area of a right circular cylinder is equal to the numerical value of its volume, then the numerical value of the radius of the base of the cylinder is:**

- (A) 4

- (B) 3

- (C) 1

- (D) 2

**5. If in an isosceles triangle ‘**

*a*’ is the length of the base and ‘*b*’ is the length of one of equal sides, then its area is:- (A) (

*a*/4) × √(

*4b*² -

*a*²)

- (B) (

*b*/4) × √(

*4a*² -

*b*²)

- (C) (

*a*+

*b*)/4 × √(

*4a*² -

*b*²)

- (D) (

*a -*

*b*)/4 × √(

*4b*² -

*a*²)

**6. A spherical lead of radius 20 cm is melted and small lead balls of radius 2 cm are made. The total number of possible small lead balls is:**

- (A) 8000

- (B) 800

- (C) 80

- (D) 1000

**7. A 10 m wide lawn is cultivated all along the outside of a rectangular plot measuring 100 m × 50 m. the total area of the lawn is:**

- (A) 750 m²

- (B) 5000 m²

- (C) 2800 m²

- (D) 2400 m²

**8. A right cylinder and a right circular cone have the same radius and same volume. The ratio of the height of the cylinder to that of the cone is:**

- (A) 3 : 2

- (B) 2 : 3

- (C) 3 : 1

- (D) 1 : 3

**9. The volume of a sphere is (88/21) × (14)**

^{3}cm^{3}. The curved surface of this sphere is:- (A) 2664 cm²

- (B) 2446 cm²

- (C) 2464 cm²

- (D) 2466 cm²

**10. A right cylinder vessel is full with water. How many right cones having the same diameter and height at those of the right cylinder will be needed to store that water?**

- (A) 2

- (B) 3

- (C) 4

- (D) 8

**11. A copper wire having 0.20 cm as the radius of its circular section is 1 m long It is melted and spherical balls of radius 0.20 cm are made. The number of balls that can be made is?**

- (A) 300

- (B) 375

- (C) 275

- (D) 350

**12. The radii of the bases of a cylinder and a cone are in the ratio 3:4. The height of the cylinder and cone are in the ratio 2:3. Then their volumes are in the ratio:**

- (A) 9 : 8

- (B) 8 : 9

- (C) 3 : 4

- (D) 4 : 3

**13. A gold bar in the shape of a rectangular solid, 36 cm long, 9 cm broad and 6 cm high, is to be melted and cast into two different cubes, the volume of the bigger being 8 times that of the smaller. The surface area of the smaller cube in cm² is:**

- (A) 36

- (B) 216

- (C) 72

- (D) 144

**14. If the diameter of the base of a right circular cylinder is ‘**

*r*’ and its height is equal to the radius of the base, then its volume is:- (A)

*πr*/8

^{3}- (B)

*πr*

^{3}- (C) 2

*πr*

^{3}- (D) 4

*πr*

^{3}**15. The side of a square is 4 m. The area of the square in m² drawn on its diagonal is:**

- (A) 16

- (B) 32

- (C) 16√2

- (D) 32√2

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