Mensuration (Part-7)

Total Questions: 50

21. The lateral surface area of a cylinder is 3862.2 cm² and its height is 15 cm. Find its volume (take π = 3.14) correct to one decimal place. [Matriculation Level 24/06/2024 (Shift-1)]

Correct Answer: (a) 79175.1 cm³
Solution:

22. The length of cold storage of cuboidal shape is double its breadth and its height is half of its breadth. If its volume is 216 m³, then what are the dimensions of the cold storage? [Matriculation Level 24/06/2024 (Shift-1)]

Correct Answer: (a) 12m x 6m x 3m
Solution:

23. The volume of a right circular cylinder of base radius r is obtained by multiplying its curved surface area by : [Matriculation Level 24/06/2024 (Shift-4)]

Correct Answer: (d) r/2
Solution:

24. How many cubes of length 50 cm can be accommodated in a container of 5 m in length, 2 m in width and 5 m in height ? [Matriculation Level 25/06/2024 (Shift-1)]

Correct Answer: (a) 400
Solution:

25. Find the area of a right angle whose base is 15 cm and hypotenuse is 17 cm. [Matriculation Level 26/06/2024 (Shift-1)]

Correct Answer: (c) 60 cm²
Solution:

26. The dimensions of a rectangular field when extended by 6 metres are in the ratio of 4 : 3 and when decreased by 6 metres are in the ratio of 2:1. Find the dimensions of the field. [Higher Secondary 20/06/2024 (Shift - 2)]

Correct Answer: (c) 18 metres, 12 metres
Solution:

27. The radius of a circle is increased in such a way that its circumference increases by 7%. As a result, the area of the circle also increases by: [Higher Secondary 20/06/2024 (Shift-2)]

Correct Answer: (c) 14.49%
Solution:

28. The radii of the two concentric circles are 27 cm and 18 cm. The area (in cm²) of the closed figure bounded by the boundaries of the circle is: [Higher Secondary 20/06/2024 (Shift-2)]

Correct Answer: (b) 405π
Solution:

29. A hemispherical bowl has a 21 cm radius. It is to be painted inside as well as outside. The cost of painting it at the rate of ₹0.05 per cm² and assuming that the thickness of the bowl is negligible, is: (Use π = 22/7) [Higher Secondary 24/06/2024 (Shift-2)]

Correct Answer: (c) ₹277.20
Solution:

30. If the area of a regular pentagon is 3920√3cm², then how long is its each side? [Higher Secondary 25/06/2024 (Shift-2)]

Correct Answer: (b) 56 cm
Solution: