Volume and Surface Area · General Aptitude

360 questions in this chapter.

General

ABC26GN4974 · Ice cream completely filled in a cylinder of diameter 35 cm and height 32 cm is to be served by completely filling identical disposable…
ABC26GN4975 · A solid cylinder and a solid cone have equal base and equal height. If the radius and height be in the ratio of 4: 3, the ratio of the…
ABC26GN4976 · Water flows at the rate of 10 metres per minute from a cylindrical pipe 5 mm in diameter. How long will it take to fill up a conical vessel…
ABC26GN4977 · A conical flask has base radius a cm and height h cm. it is completely filled with milk. The milk is poured into a cylindrical thermos…
ABC26GN4978 · A solid cylindrical block of radius 12 cm and height 18 cm is mounted with a conical block of radius 12 cm and height 5 cm. The total…
ABC26GN4979 · A tent is in the form of a right circular cylinder surmounted by a cone. The diameter of the cylinder is 24 m. The height of the… · 2006
ABC26GN4980 · A fountain having the shape of a right circular cone is fitted into a cylindrical tank of volume V so that the base of the tank coincides…
ABC26GN4981 · In a right circular cone, the radius of its base is 7 cm and its height is 24 cm. A cross-section is made through the mid-point of the… · 2006
ABC26GN4982 · A right circular cone is divided into two portions by a plane parallel to the base and passing through a point which is 1/3 rd of the…
ABC26GN4983 · A bucket is in the form of a frustum of a cone and holds 28.490 litres of water. The radii of the top and bottom are 28 cm and 21 cm…
ABC26GN4984 · A cone of height 10 cm and radius 5 cm is cut into two parts at half its height. The cut is given parallel to its circular base. What is…
ABC26GN4985 · A sphere, cylinder and cone of dimensions radius =r cm and height =2 r cm are made. Which one has the greatest volume?
ABC26GN4991 · The volume of a sphere is 2145 11/21 cm3. Its radius is equal to · 2008
ABC26GN4992 · The volume of a sphere is 4851 cu. cm. Its curved surface area is
ABC26GN4993 · The curved surface area of a sphere is 5544 sq. cm. Its volume is
ABC26GN4994 · The volume of a sphere of radius r is obtained by multiplying its surface area by
ABC26GN4995 · For a sphere of radius 10 cm, what percent of the numerical value of its volume would be the numerical value of the surface area?
ABC26GN4996 · If the volume of a sphere is divided by its surface area, the result is 27 cm. The radius of the sphere is
ABC26GN4997 · If the radii of two spheres are in the ratio 1 : 4, then their surface areas are in the ratio · 2007
ABC26GN4998 · The radii of two spheres are in the ratio 3 : 2. Their volumes will be in the ratio · 2007
ABC26GN4999 · Surface area of a sphere is 2464 cm2. If its radius be doubled, then the surface area of the new sphere will be :
ABC26GN5000 · If the radius of a sphere is doubled, how many times does its volume become? · 2008
ABC26GN5001 · If the radius of a sphere is increased by 2 cm, then its surface area increases by 352 cm2. The radius of the sphere before the increase was
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…
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
ABC26GN5010 · A hollow spherical metallic ball has an external diameter 6 cm and is 1/2 cm thick. The volume of metal used in the ball is
ABC26GN5011 · A solid piece of iron of dimensions 49 33 24 cm is moulded into a sphere. The radius of the sphere is
ABC26GN5012 · How many bullets can be made out of a cube of lead whose edge measures 22 cm, each bullet being 2 cm in diameter?
ABC26GN5013 · The volume of the largest sphere which can be carved out of a cube of side 6 cm is
ABC26GN5014 · How many lead shots each 3 mm in diameter can be made from a cuboid of dimensions 9 cm × 11 cm 12 cm ? · 2009
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…