Mensuration (Railway Maths) (Part – X)

Total Questions: 50

1. Curved surface area of a cylinder is 440 cm². The base circumference is 44 cm. What is its volume? [RRB JE 24/05/2019 (Afternoon)]

Correct Answer: (c) 1540 cm³
Solution:

2. Volume of material used in constructing a hollow cylinder of height 24 cm and thickness 1 cm is 96π. What is the sum of the internal and external radius? [RRB JE 24/05/2019 (Evening)]

Correct Answer: (c) 4 cm
Solution:

3. The base of a right pyramid is a square with diagonal 16 units. Its slant edge is 17 units. What is its vertical height? [RRB JE 24/05/2019 (Evening)]

Correct Answer: (c) 15
Solution:

4. What is the area of a regular hexagon of side 6 cm? [RRB JE 24/05/2019 (Evening)]

Correct Answer: (c) 54√3 cm²
Solution:

5. Edges of a cuboid are in the ratio 1 : 2 : 3. Its surface area is 88 cm². What is its volume? [RRB JE 25/05/2019 (Afternoon) ]

Correct Answer: (c) 48 cm³
Solution:

6. The radius of a sphere is 3 times the radius of a cylinder. If their volumes are equal, find the height of the cylinder. [RRB JE 25/05/2019 (Evening) ]

Correct Answer: (a) 36 times its radius
Solution:

Ratio of the radius of sphere
(𝑅) and radius of cylinder (r) = 3 : 1
Volume of sphere = volume of cylinder
4/3πR³ = π × r² × h
h = R³ × 4 / r² × 3
= 3 × 3 × 3 × 4 / 1 × 1 × 3
= 36
So , the height of the cylinder is equal to 36 times the radius of cylinder .

7. Circumference of a circle is 132 cm. What is the perimeter of its sector whose central angle is 135°? [RRB JE 26/05/2019 (Afternoon)]

Correct Answer: (d) 91.5 cm
Solution:

8. A cone is 32 cm high and the radius of its base is 8 cm. It is melted and recast into a sphere. Find the radius of the sphere. [RRB JE 26/05/2019 (Evening)]

Correct Answer: (d) 8 cm
Solution:

9. A hemispherical metallic solid is melted and recast into a cone of equal radius 'R'. If the height of the cone is H, then: [RRB JE 27/05/2019 (Morning)]

Correct Answer: (c) H = 2R
Solution:

10. A metal pipe of radius 21 cm and length 90 cm has an outer curved surface area: [RRB JE 27/05/2019 (Evening) ]

Correct Answer: (d) 11880 cm²
Solution: