Volume and Surface Area

ABC26GN4916 · The radius of a cylindrical cistern is 10 metres and its height is 15 metres. Initially the cistern is empty. We start filling the cistern… · 2007

ABC26GN4917 · It is required to fix a pipe such that water flowing through it at a speed of 7 metres per minute fills a tank of capacity 440 cubic metres… · 2005

ABC26GN4918 · Water flows out through a circular pipe whose internal diameter is 2 cm, at the rate of 6 metres per second into a cylindrical tank, the… · 2006

ABC26GN4919 · Water is poured into an empty cylindrical tank at a constant rate for 5 minutes. After the water has been poured into the tank, the depth… · 2006

ABC26GN4920 · The number of circular pipes with an inside diameter of 1 inch which will carry the same amount of water as a pipe with an inside diameter… · 2011

ABC26GN4921 · Find the number of coins 1.5 cm in diameter and 0.2 cm thick, to be melted to form a right circular cylinder of height 10 cm and diameter… · 2005

ABC26GN4922 · Two cylindrical vessels with radii 15 cm and 10 cm and heights 35 cm and 15 cm respectively are filled with water. If this water is poured…

ABC26GN4923 · 66 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be

ABC26GN4926 · A square pond has 2 m sides and is 1 m deep. If it is to be enlarged, the depth remaining the same, into a circular pond with the diagonal…

ABC26GN4927 · What part of a ditch, 48 metres long, 16.5 metres broad and 4 metres deep can be filled by the earth got by digging a cylindrical tunnel of… · 2007

ABC26GN4928 · Water is flowing at the rate of 5 km/hr through a cylindrical pipe of diameter 14 cm into a rectangular tank which is 50 m long and 44 m… · 2008

ABC26GN4929 · The trunk of a tree is a right cylinder 1.5 m in radius and 10 m high. The volume of the timber which remains when the trunk is trimmed… · 2006

ABC26GN4930 · Rain water, which falls on a flat rectangular surface of length 6 m and breadth 4 m is transferred into a cylindrical vessel of internal…

ABC26GN4931 · An iron pipe 20 cm long has exterior diameter equal to 25 cm. If the thickness of the pipe is 1 cm, then the whole surface of the pipe is · 2007

ABC26GN4934 · What length of solid cylinder 2 cm in diameter must be taken to cast into a hollow cylinder of external diameter 12 cm, 0.25 cm thick and…

ABC26GN4935 · A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8 g / cm3, then…

ABC26GN4936 · 1496 cm3 of metal is used to cast a pipe of length 28 cm. If the internal radius of the pipe is 8 cm, the outer radius of the pipe is · 2007

ABC26GN4938 · A circular cylinder can hold 61.6 c.c. of water. If the height of the cylinder is 40 cm and the outer diameter is 16 mm, then the thickness…

ABC26GN4939 · Which one of the following figures will generate a cone when rotated about one of its straight edges?

ABC26GN4940 · The radius of the base and height of a cone are 3 cm and 5 cm respectively whereas the radius of the base and height of a cylinder are 2 cm…

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…

ABC26GN4962 · If the height, curved surface area and the volume of a cone are h, c and v respectively, then 3 pi v h3-c2 h2 +9 v2 will be equal to

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

ABC26GN4966 · Find the volume of the largest right circular cone that can be cut out from a cube whose edge is 9 cm.

ABC26GN4967 · A cone of height 7 cm and base radius 3 cm is carved from a rectangular block of wood 10 cm × 5 cm × 2 cm. The percentage of wood wasted is

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