3D Mensuration test 6

1 .A right circular cylinder and a cone have equal base radius and equal height. If their curved surfaces are in the ratio 8 : 5, then the radius of the base to the height are in the ratio:

2.A right prism with trapezium base of parallel side 8 cm & 14 cm. Height of prism is 12 cm & its volume is 1056 cm3 then. Find the distance two parallel lines.

3.The heights of two cones are in the ratio 1 : 3 and the diameters of their base are in the ratio 3 : 5, The ratio of their volume is

4.The diameter of the moon is assumed to be one fourth of the diameter of the earth. Then the ratio of the volume of the earth to that of the moon is

5 .The volume of a cylinder and a cone are in the ratio 3 : 1. Find their diameters and then compare them when their heights are equal.

6.A solid sphere is melted and recast into a right circular cone with a base radius equal to the radius of sphere. What is the ratio of the height and radius of the cone so formed ? (a) 4 : 3 (b) 2 : 3 (c) 3 : 4 (d) 4 : 1

7.The ratio of weights of two spheres of different materials is 8 : 17 and the ratio of weights per 1 cc of materials of each is 289 : 64. The ratio of radii of the two spheres is

8.The volumes of a right circular cylinder and a sphere are equal. The radius of the cylinder and the diameter of the sphere are equal. The ratio of height and radius of the cylinder is

9 .A rectangle based pyramid, length and width of the base is 18cm and 10cm respectively. Find the total surface area, if its height is 12cm :

10 .If the radius of a cylinder is decreased by 50% and the height is increased by 50% to form a new cylinder, the volume will be decreased by

11. Each of the height and base radius of a cone is increased by 100%. The percentage increase in the volume of the cone is

12 .If both the radius and height of a right circular cone are increased by 20%, its volume will be increased by

13.A cone of height 15 cm and base diameter 30 cm is carved out of a wooden sphere of radius 15 cm. The percentage of used wood is :

14.If the height of a right circular cone is increased by 200% and the radius of the base is reduced by 50%, the volume of the cone

15.If the height and the radius of the base of a cone are each increased by 100%, then the volume of the cone becomes

16.If the radius of a sphere is doubled, its volume becomes

17 . If the radius of a right circular cylinder is decreased by 50% and its height is increased by 60% its volume will be decreased by

18 . Each of the radius of the base and the height of a right circular cylinder is increased by 10%. The volume of the cylinder is increased by

19 .If the height of a cone is increase by 100% then its volume is increased by :

20.If the radius of a sphere be doubled. the area of its surface will become