Mensuration - III (Level : Moderate)
| Description: mensuration for ssc and class X | |
| Number of Questions: 15 | |
| Created by: Vaibhav Pathak | |
| Tags: mensuration for ssc and class X Formula for Calculating Mode in Grouped Data Formula for Calculating Median in Grouped Data Empirical Relation Between Mean, Median and Mode Surface Areas and Volumes Mensuration |
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.
Find the volume of a spherical shell whose external and internal radii are 6 cm and 4 cm, respectively.
Find the volume of a pyramid of base area 30 cm2 and height 8 cm.
If the height and radius of a right circular cylinder become thrice, then the volume of the cylinder will become
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.
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.
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.
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?
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?
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?
Three cubes of sides 7 cm each are kept adjacent to each other. What is the total surface area of the cuboid formed?
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?
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?
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?
The diameter of the base of a cylinder is 21 cm and its height is 20 cm. What is the volume of the cylinder?