Mensuration (Part-7)

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)]

(a) 79175.1 cm³
(b) 88275.2 cm³
(c) 78275.2 cm³
(d) 89175.1 cm³

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)]

(a) 12m x 6m x 3m
(b) 12m x 9m x 5m
(c) 14m x 7m x 5m
(d) 8m x 4m x 2m

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)]

(a) 2/r
(b) 1/2r
(c) 2r
(d) r/2

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)]

(a) 400
(b) 500
(c) 450
(d) 250

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)]

(a) 40 cm²
(b) 55 cm²
(c) 60 cm²
(d) 75 cm²

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)]

(a) 16 metres, 12 metres
(b) 10 metres, 6 metres
(c) 18 metres, 12 metres
(d) 14 metres, 10 metres

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)]

(a) 18.69%
(b) 10.28%
(c) 14.49%
(d) 12.20%

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)]

(a) 505π
(b) 405π
(c) 288π
(d) 504π

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)]

(a) ₹410.10
(b) ₹188.30
(c) ₹277.20
(d) ₹388.20

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)]

(a) 38 cm
(b) 56 cm
(c) 58 cm
(d) 46 cm

Correct Answer: (b) 56 cm

Solution:

Mensuration (Part-7)

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)]

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)]

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)]

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)]

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)]

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)]

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)]

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)]

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)]

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)]

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