Volume and Surface Area

ABC26GN4941 · What is the weight of water contained in a conical vessel 21 cm deep and 16 cm in diameter? · 2006

ABC26GN4942 · Find the slant height of the cone whose height is 4.8 cm and the diameter of base is 4 cm.

ABC26GN4943 · The curved surface of a right circular cone of height 84 cm and base diameter 70 cm is

ABC26GN4944 · The curved surface of a right circular cone of height 15 cm and base diameter 16 cm is

ABC26GN4946 · A right triangle with sides 3 cm, 4 cm and 5 cm is rotated about the side of 3 cm to form a cone. The volume of the cone so formed is

ABC26GN4947 · The slant height of a right circular cone is 10 m and its height is 8 m. Find the area of its curved surface.

ABC26GN4948 · If a right circular cone of height 24 cm has a volume of 1232 cm3, then the area of its curved surface is

ABC26GN4949 · A conical tent is to accommodate 11 persons. Each person must have 4 sq. metres of the space on the ground and 20 cubic metres of air to… · 2006

ABC26GN4950 · Area of the canvas cloth needed to erect a right conical tent of height 12 ft and circular base having circumference 10 pi ft is

ABC26GN4951 · The slant height of a conical mountain is 2.5 km and the area of its base is 1.54 km2. The height of the mountain is

ABC26GN4952 · If the area of the base of a right circular cone is 3850 cm2 and its height is 84 cm, then the curved surface area of the cone is

ABC26GN4953 · Volume of a right circular cone having base radius 70 cm and curved surface area 40040 cm2 is

ABC26GN4954 · The radius and height of a right circular cone are in the ratio 3 : 4. If its volume is 301 5/7 cm3, what is its slant height?

ABC26GN4955 · A vertical cone of volume V with vertex downwards is filled with water upto half of its height. The volume of the water is

ABC26GN4956 · A semicircular sheet of paper of diameter 28 cm is bent to cover the exterior surface of an open conical ice-cream cup. The depth of the… · 2006

ABC26GN4957 · The length of canvas 1.1 m wide required to build a conical tent of height 14 m and the floor area 346.5 sq. m is

ABC26GN4958 · If the height of a cone is doubled and its base diameter is trebled, then the ratio of the volume of the resultant cone to that of the…

ABC26GN4959 · If both the radius and height of a right circular cone are increased by 20%, its volume will be increased by

ABC26GN4960 · If the height of a right circular cone is increased by 200% and the radius of the base is reduced by 50%, then the volume of the cone

ABC26GN4961 · If the height of a cone be doubled and radius of base remains the same, then the ratio of the volume of the given cone to that of the…

ABC26GN4963 · If the heights of two cones are in the ratio 7 : 3 and their diameters are in the ratio 6 : 7, what is the ratio of their volumes? · 2009

ABC26GN4964 · The radii of two cones are in the ratio 2 : 1, their volumes are equal. Find the ratio of their heights.

ABC26GN4965 · If the ratio of volumes of two cones is 2 : 3 and the ratio of the radii of their bases is 1 : 2, then the ratio of their heights will be

ABC26GN4968 · A right circular cone and a right circular cylinder have equal base and equal height. If the radius of the base and the height are in the…

ABC26GN4969 · A conical cavity is drilled in a circular cylinder of 15 cm height and 16 cm base diameter. The height and base diameter of the cone are…

ABC26GN4970 · The radius of the base and height of a metallic solid cylinder are r cm and 6 cm respectively. It is melted and recast into a solid cone of… · 2007

ABC26GN4971 · A solid metallic right circular cylinder of base diameter 16 cm and height 2 cm is melted and recast into a right circular cone of height… · 2007

ABC26GN4972 · A right cylindrical vessel is full of water. How many right cones having the same radius and height as those of the right cylinder will be…

ABC26GN4973 · A solid metallic cylinder of base radius 3 cm and height 5 cm is melted to form cones, each of height 1 cm and base radius 1 mm. The number…

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…

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

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