Mensuration - III (Level : Moderate)
mensuration for ssc and class X
Questions
Find the ratio of the volumes of a right circular cylinder and a right circular cone of the same base if the height of the cylinder is twice the height of the cone.
- 1 : 3
- 2 : 3
- 3 : 2
- 6 : 1
- None of these
Find the volume of a spherical shell whose external and internal radii are 6 cm and 4 cm, respectively.
- 304π/3 cm3
- 154π cm3
- 606π cm3
- 608π/3 cm3
- None of these
Find the volume of a pyramid of base area 30 cm2 and height 8 cm.
- 80 cm3
- 100 cm3
- 90 cm3
- 110 cm3
- None of these
If the height and radius of a right circular cylinder become thrice, then the volume of the cylinder will become
- 18 times
- 15 times
- 30 times
- 27 times
- None of these
The radius and height of a right circular cone are in the ratio 5 : 7. If its volume is 4950 m3, find its slant height.
- 26 m
- 20 m
- 30.88 m
- 20.88 m
- None of these
The base of a right pyramid is a square and length of diagonal of the base is 6√2 m. If the volume of the pyramid is 120 m3, find its height.
- 12 m
- 8 m
- 10 m
- 9 m
- None of these
A sphere and a cylinder have equal radii of their bases as 7 cm. If their curved surface areas are in the ratio 2 : 7, then find the ratio of radius and height of the cylinder.
- 1 : 7
- 1 : 3
- 2 : 3
- 3 : 4
- None of these
A metallic sphere of radius 9 cm is melted and recast into a cylinder, whose height is 12 cm. What is the radius of the cylinder?
- 9 cm
- 18 cm
- 21 cm
- 15 cm
- None of these
The length, breadth and height of a cuboid are 12 m, 6 m and 5 m, respectively. The cuboid is melted and converted into 10 equal cubes. In this process, 25% of the material is lost. How long will be the edge of each cube?
- 2 m
- 3 m
- 4 m
- 6 m
- None of these
A cube of side 2 m length is cut into small cubes of side 25 cm each. How many such small cubes can be obtained?
- 500
- 512
- 510
- 576
- None of these
Three cubes of sides 7 cm each are kept adjacent to each other. What is the total surface area of the cuboid formed?
- 484 cm2
- 441 cm2
- 343 cm2
- 686 cm2
- None of these
When a cubical metallic piece of edge 5 cm is dropped in a cylindrical glass of water, the water column rises by 4 cm. What is the radius of the base of the glass?
- 6√6/2√π cm
- 4√5/2√π cm
- 5√5/2√π cm
- 3√5/2√π cm
- None of these
A road roller is in the shape of a cylinder. The radius of cross-section is 10.5 cm and the length is 1.5 m. What is the area covered by the roller in making 100 revolutions?
- 100 m2
- 99 m2
- 84 m2
- 75 m2
- None of these
The volume of a right circular cone is 480π cm3. If the area of its base is 144π cm2, what is the vertical height of the cone?
- 10 cm
- 12 cm
- 14 cm
- 16 cm
- None of these
The diameter of the base of a cylinder is 21 cm and its height is 20 cm. What is the volume of the cylinder?
- 6530 cm3
- 6930 cm3
- 5930 cm3
- 4930 cm3
- None of these