3D Mensuration test 5 Welcome to your 3D Mensuration test 5 Name Email 1.Spheres A and B have their radii 40 cm and 10 cm respectively. Ratio of surface area of A to the surface area of B is : (a) 1 : 16 (b) 4 : 1 (c) 1 : 4 (d) 16 : 1 None 2.If the radius of the base of a cone be doubled and height is left unchanged, then ratio of the volume of new cone to that of the original cone will be: (a) 1 : 4 (b) 2 : 1 (c) 1 : 2 (d) 4 : 1 None 3. A cube of edge 5 cm is cut into cubes each of edge of 1 cm. The ratio of the total surface area of one of the small cubes to that of the large cube is equal to: (a) 1 : 125 (b) 1 : 5 (c) 1 : 625 (d) 1 : 25 None 4 . The diameter of two hollow spheres made from the same metal sheet are 21 cm and 17.5 cm respectively. The ratio of the area of metal sheets required for making the two spheres is (a) 6 : 5 (b) 36 : 25 (c) 3 : 2 (d) 18 : 25 (a) 6 : 5 (b) 36 : 25 (c) 3 : 2 (d) 18 : 25 None 5 . By melting a solid lead sphere of diameter 12 cm, three small spheres are made whose diameters are in the ratio 3 : 4 : 5. The radius (in cm) of the smallest sphere is (a) 3 (b) 6 (c) 1.5 (d) 4 None 6 . A cone is cut at mid point of its height by a frustum parallel to its base. The ratio between the volumes of two parts of cone would be (a) 1 : 1 (b) 1 : 8 (c) 1 : 4 (d) 1 : 7 None 7.The ratio of the surface area of a sphere and the curved surface area of the cylinder circumscribing the sphere is (a) 1 : 2 (b) 1 : 1 (c) 2 : 1 (d) 2 : 3 None 8.The radii of two spheres are in the ratio 3 : 2. Their volume will be in the ratio : (a) 9 : 4 (b) 3 : 2 (c) 8 :27 (d) 27 : 8 None 9.The volume of a sphere and a right circular cylinder having the same radius are equal. The ratio of the diameter of the sphere to the height of the cylinder is (a) 3 : 2 (b) 2 : 3 (c) 1 :2 (d) 2 : 1 None 10.A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their respective volume is (a) 1 : 2 : 3 (b) 2 : 1 : 3 (c) 1 : 3 : 2 (d) 3 : 1 : 2 None 11.The radii of the base of two cylinders are in the ratio 3 : 5 and their heights in the ratio 2 : 3. The ratio of their curved surface will be : (a) 2 : 5 (b) 2 : 3 (c) 3 : 5 (d) 5 :3 None 12 .If the radii of two spheres are in the ratio 1 : 4, then their surface area are in the ratio : (a) 1 : 2 (b) 1 : 4 (c) 1 : 8 (d) 1 :16 None 13 . A solid metallic sphere of radius 8 cm is melted to form 64 equal small solid spheres. The ratio of the surface area of this sphere to that of a small sphere is (a) 4 : 1 (b) 1 :16 (c) 16 :1 (d) 1 : 4 None 14.The diameter of two cylinders, whose volumes are equal, are in the ratio 3 : 2, Their heights will be in the ratio. (a) 4 : 9 (b) 5 : 6 (c) 5 : 8 (d) 8 : 9 None 15 . A right circular cylinder just encloses a sphere of radius r. The ratio of the surface area of the sphere and the curved surface area of the cylinder is (a) 2 : 1 (b) 1 : 2 (c) 1 : 3 (d) 1 : 1 None 16.The ratio of radii of two cone is 3 : 4 and the ratio of their height is 4 : 3. Then the ratio of their volume will be (a) 3 : 4 (b) 4 : 3 (c) 9 : 16 (d) 16 : 9 None 17 . The total surface area of a solid right circular cylinder is twice that of a solid sphere. If they have the same radii, the ratio of the volume of the cylinder to that of the sphere is given by (a)9 : 4 (b) 2 : 1 (c) 3 : 4 (d) 4 :9 None 18. The radius and the height of a cone are in the ratio 4 : 3. The ratio of the curved surface area and total surface area of the cone is (a)5 : 9 (b) 3 : 7 (c)5 : 4 (d) 16 : 9 None 19 .A sphere and a cylinder have equal volume and equal radius. The ratio of the curved surface area of the cylinder to that of the sphere is (a)4 : 3 (b) 2 : 3 (c)3 : 2 (d) 3 : 4 None 20-.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: (a)2 : 3 (b) 4 : 3 (c)3 : 4 (d) 3 : 2 None Time's up
