3D Mensuration test 3

1.The radius of a cylinder is 10 cm and height is 4 cm. The number of centimetres that may be added either to the radius or to the height to get the same increase in the volume of the cylinder is

2.The circumference of the base of a 16 cm high solid cone is 33 cm What is the volume of the cone in cm3 ?

3.A solid sphere of 6 cm diameter is melted and recast into 8 solid spheres of equal volume. The radius (in cm) of each small sphere is

4.A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. If the radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm find the the volume of wooden toy (nearly).

5.The volume of a solid hemisphere is 19404 cm3 . Its total surface area is

6.A solid hemisphere is of radius 11 cm. the curved surface area in sq. cm is

7.The base of a cone and a cylinder have the same radius 6 cm. They have also the same height 8 cm. The ratio of the curved surface area of the cylinder to that of the cone is

8.The radius of a metallic cylinder is 3 cm and its height is 5 cm. It is melted and moulded into small cones, each of height 1 cm and base radius 1 mm. The number of such cones formed is

9.A sector is formed by opening out a cone of base radius 8 cm and height 6 cm. Then the radius of the sector is (in cm)

10.A solid cone of height 9 cm with diameter of its base 18 cm is cut out from a wooden solid sphere of radius 9 cm. The percentage of wood wasted is :

11.What is the height of a cylinder that has the same volume and radius as a sphere of diameter 12 cm ?

12.If the volume of two right circular cones are in the ratio 4 : 1 and their diameter are in the ratio 5 : 4, then the ratio of their height is :

13.If the ratio of the diameters of two right circular cones of equal height be 3: 4, then the ratio of their volume will be

14.The surface area of two spheres are in the ratio 4 : 9. Their volumes will be in the ratio

15.A sphere of diameter 6 cm is droped in a right circular cylinderical vessel partly filled with water. The diameter of the cylinderical vessel is 12 cm. If the sphere is just completely submerged in water, then the rise of water level in the cylindrical vessel is

16.A copper sphere of diameter 18 cm is drawn into a wire of diameter 4 mm. The length of the wire in metre is :

17.Two right circular cones of equal height and radii of there respective base 3 cm and 4 cm are melted together and made to a solid sphere of radius 5 cm. The height of a cone is

18.The total number of spherical bullets, each of diameter 5 decimeter, that can be made by utilizing the maximum of a rectangular block of lead with 11 metre length, 10 metre breadth and 5 metre width is (assume that   3 )

19.If a metallic cone of radius 30 cm and height 45 cm is melted and recast into metallic spheres of radius 5 cm, find the number of spheres ,

20 .A metallic sphere of radius 10.5 cm is melted and then recast into small cones each of radius 3.5 cm and height 3 cm. The number of cones thus formed is (a) 140(b) 132 (c) 112 (d) 126