Volume and Surface Area

ABC26GN5002 · If the measured value of the radius is 1.5% larger, the percentage error (correct to one decimal place) made in calculating the volume of a…

ABC26GN5003 · The volumes of two spheres are in the ratio of 64 : 27. The ratio of their surface areas is · 2010

ABC26GN5004 · If the surface areas of two spheres are in the ratio of 4: 25, then the ratio of their volumes is · 2009

ABC26GN5005 · If the volume and surface area of a sphere are numerically the same, then its radius is · 2006

ABC26GN5006 · If three metallic spheres of radii 6 cms, 8 cms and 10 cms are melted to form a single sphere, the diameter of the new sphere will be · 2009

ABC26GN5007 · A solid metallic sphere of radius 8 cm is melted and recast into spherical balls each of radius 2 cm. The number of spherical balls, thus…

ABC26GN5008 · A spherical ball of lead, 3 cm in diameter is melted and recast into three spherical balls. The diameter of two of these are 1.5 cm and 2… · 2009

ABC26GN5009 · If a solid sphere of radius 10 cm is moulded into 8 spherical solid balls of equal radius, then the surface area of each ball is

ABC26GN5013 · The volume of the largest sphere which can be carved out of a cube of side 6 cm is

ABC26GN5015 · A sphere and a cube have equal surface areas. The ratio of the volume of the sphere to that of the cube is · 2006

ABC26GN5016 · The ratio of the volume of a cube to that of a sphere which will fit inside the cube is · 2010

ABC26GN5017 · The volume of the largest possible cube that can be inscribed in a hollow spherical ball of radius r cm is (Hotel Management, 2009)

ABC26GN5018 · A right circular cylinder and a sphere are of equal volumes and their radii are also equal. If h is the height of the cylinder and d, the… · 2007

ABC26GN5019 · The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm each. The…

ABC26GN5020 · The diameter of the iron ball used for the shot-put game is 14 cm. It is melted and then a solid cylinder of height 2 1/3 cm is made. What…

ABC26GN5021 · A solid metallic sphere of radius r is converted into a solid right circular cylinder of radius R. If the height of the cylinder is twice… · 2010

ABC26GN5022 · The ratio of the volumes of a right circular cylinder and a sphere is 3 : 2. If the radius of the sphere is double the radius of the base… · 2006

ABC26GN5023 · The volume of the greatest sphere that can be cut off from a cylindrical log of wood of base radius 1 cm and height 5 cm is

ABC26GN5024 · How many spherical bullets can be made out of a lead cylinder 15 cm high and with base radius 3 cm, each bullet being 5 mm in diameter?

ABC26GN5025 · A cylindrical rod of iron whose height is eight times its radius is melted and cast into spherical balls each of half the radius of the…

ABC26GN5026 · A copper wire of length 36 m and diameter 2 mm is melted to form a sphere. The radius of the sphere (in cm) is · 2010

ABC26GN5027 · The diameter of a sphere is 8 cm. It is melted and drawn into a wire of diameter 3 mm. The length of the wire is · 2009

ABC26GN5028 · A cylindrical vessel of radius 4 cm contains water. A solid sphere of radius 3 cm is lowered into the water until it is completely…

ABC26GN5029 · The ratio of the surface area of a sphere and the curved surface area of the cylinder circumscribing the sphere is · 2006

ABC26GN5030 · 12 spheres of the same size are made from melting a solid cylinder of 16 cm diameter and 2 cm height. The diameter of each sphere is

ABC26GN5031 · A spherical iron ball is dropped into a cylindrical vessel of base diameter 14 cm containing water. The water level is increased by 9 1/3…

ABC26GN5033 · Each of the measures of the radius of the base of a cone and that of a sphere is 8 cm. Also, the volumes of these two solids are equal. The…

ABC26GN5034 · A metallic sphere of radius 5 cm is melted to make a cone with base of the same radius. What is the height of the cone? · 2006

ABC26GN5035 · Some solid metallic right circular cones, each with radius of the base 3 cm and height 4 cm, are melted to form a solid sphere of radius 6… · 2007

ABC26GN5036 · A metallic sphere of radius 10.5 cm is melted and recast into small right circular cones, each of base radius 3.5 cm and height 3 cm. The… · 2008

ABC26GN5037 · 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 wood wasted is · 2011

ABC26GN5038 · A metallic cone of radius 12 cm and height 24 cm is melted and made into spheres of radius 2 cm each. How many spheres are there?

ABC26GN5039 · In what ratio are the volumes of a cylinder, a cone and a sphere, if each has the same diameter and the same height?

ABC26GN5040 · If the diameter of a sphere is 6 m, its hemisphere will have a volume of · 2007

ABC26GN5041 · The total surface area of a solid hemisphere of diameter 14 cm, is

ABC26GN5042 · Volume of a hemisphere is 19404 cu. cm. Its radius is

ABC26GN5043 · A hemispherical bowl is 176 cm round the brim. Supposing it to be half full, how many persons may be served from it in hemispherical… · 2009

ABC26GN5044 · The capacities of two hemispherical vessels are 6.4 litres and 21.6 litres. The areas of inner curved surfaces of the vessels will be in…

ABC26GN5045 · A hemispherical bowl is made of steel 0.5 cm thick. The inside radius of the bowl is 4 cm. The volume of steel used in making the bowl is

ABC26GN5046 · The external and internal diameters of a hemispherical bowl are 10 cm and 8 cm respectively. What is the total surface area of the bowl?

ABC26GN5047 · A hemispherical bowl of internal radius 12 cm contains liquid. This liquid is to be filled into cylindrical container of diameter 4 cm and… · 2009

ABC26GN5048 · A hemispherical bowl is filled to the brim with a beverage. The contents of the bowl are transferred into a cylindrical vessel whose radius…

ABC26GN5049 · A water tank open at the top is hemispherical at the bottom and cylindrical above it. If radius of the hemisphere is 12 m and the total…

ABC26GN5050 · If a cylindrical tower D metres in diameter and H metres high is capped with a semi-spherical dome, then the total visible surface of the…

ABC26GN5051 · The ratio of the volumes of a hemisphere and a cylinder circumscribing this hemisphere and having a common base is · 2006

ABC26GN5052 · A metallic hemisphere is melted and recast in the shape of a cone with the same base radius (R) as that of the hemisphere. If H is the…

ABC26GN5053 · A hemisphere of lead of radius 6 cm is cast into a right circular cone of height 75 cm. The radius of the base of the cone is

ABC26GN5054 · A hemisphere and a cone have equal bases. If their heights are also equal, then the ratio of their curved surfaces will be

ABC26GN5055 · If the radius of the base and height of a cylinder and cone are each equal to r, and the radius of a hemisphere is also equal to r, then… · 2006

ABC26GN5056 · A solid body is made up of a cylinder of radius r and height r, a cone of base radius r and height r fixed to the cylinder's one base and a…