ABC26GN5104 · What is the total surface area of the cone? I. The area of the base of the cone is 154 cm2. II. The curved surface area of the cone is 550…
ABC26GN4755 · 2.2 cubic dm of lead is to be drawn into a cylindrical wire 0.50 cm in diameter. Find the length of the wire in metres.
ABC26GN4797 · If V be the volume and S be the surface area of a cuboid of dimensions a, b, c, then 1/V is equal to
ABC26GN4798 · The volume of a rectangular block of stone is 10368 dm3. Its dimensions are in the ratio of 3 : 2 : 1. If its entire surface is polished at…
ABC26GN4757 · A well with 14 m inside diameter is dug 10 m deep. Earth taken out of it has been evenly spread all around it to a width of 21 m to form an…
ABC26GN4799 · The dimensions of a rectangular box are in the ratio 2 : 3 : 4 and the difference between the cost of covering it with sheet of paper at…
ABC26GN4758 · The radii of the bases of two cylinders are in the ratio 3 : 5 and their heights are in the ratio 2 : 3. Find the ratio of their curved… · 2007
ABC26GN4800 · It is required to construct a big rectangular hall to accommodate 500 persons, allowing 22.5 m3 space per person. The height of the hall is…
ABC26GN4759 · If 1 cubic cm of cast iron weighs 21 gms, then find the weight of a cast iron pipe of length 1 metre with a bore of 3 cm and in which…
ABC26GN4801 · A cuboidal water tank contains 216 litres of water. Its depth is 1/3 of its length and breadth is 1/2 of 1/3 of the difference between… · 2005
ABC26GN4760 · Find the slant height, volume, curved surface area and the whole surface area of a cone of radius 21 cm and height 28 cm.
ABC26GN4802 · The length of the longest rod that can be placed in a room of dimensions 10 m 10 m 5 m is · 2010
ABC26GN4761 · A conical tent is required to accommodate 5 persons and each person needs 16 cm2 of space on the ground and 100 cubic metres of air to…
ABC26GN4803 · Find the length of the longest rod that can be placed in a room 16 m long, 12 m broad and 10 2/3 m high.
ABC26GN4762 · How many metres of cloth 5 m wide will be required to make a conical tent, the radius of whose base is 7m and height is 24 m? · 2006
ABC26GN4804 · The volume of a rectangular solid is 210 cm3 and the surface area is 214 cm2. If the area of the base is42 cm2, then the edges of the…
ABC26GN4763 · The heights of two right circular cones are in the ratio 1 : 2 and the perimeters of their bases are in the ratio 3 : 4. Find the ratio of…
ABC26GN4805 · How many bricks, each measuring 25 cm 11.25 cm × 6 cm, will be needed to build a wall 8 m × 6 m 22.5 cm ? · 2008
ABC26GN4764 · 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
ABC26GN4806 · The number of bricks, each measuring 25 cm × 12.5 cm × 7.5 cm, required to construct a wall 6 m long, 5 m high and 0.5 m thick, while the…
ABC26GN4765 · The radii of the bases of a cylinder and a cone are in the ratio of 3 : 4 and their heights are in the ratio 2 : 3. Find the ratio of their…
ABC26GN4807 · 50 men took a dip in a water tank 40 m long and 20 m broad on a religious day. If the average displacement of water by a man is 4 m3, then…
ABC26GN4766 · A conical vessel, whose internal radius is 12 cm and height 50 cm, is full of liquid. The contents are emptied into a cylindrical vessel…
ABC26GN4808 · A swimming bath is 24 m long and 15 m broad. When a number of men dive into the bath, the height of the water rises by 1 cm. If the average… · 2005
ABC26GN4767 · The radius and height of a right solid circular cone are r and h respectively. A conical cavity of radius r/2 and height h/2 is cut out of…
ABC26GN4809 · A school room is to be built to accommodate 70 children so as to allow 2.2 m2 of floor and 11 m3 of space for each child. If the room be 14… · 2010
ABC26GN4768 · In a rocket shaped firecracker, explosive powder is to be filled up inside the metallic enclosure. The metallic enclosure is made up of a… · 2010
ABC26GN4810 · A rectangular tank measuring 5 m 4.5 m 2.1 m is dug in the centre of the field measuring 13.5 m by 2.5 m. The earth dug out is evenly… · 2005
ABC26GN4811 · A plot of land in the form of a rectangle has dimensions 240 m × 180 m. A drainlet 10 m wide is dug all around it (outside) and the earth… · 2006
ABC26GN4770 · If the radius of a sphere is increased by 50%, find the increase percent in volume and the increase percent in the surface area.
ABC26GN4812 · A cistern, open at the top, is to be lined with sheet of lead which weights 27 kg / m2. The cistern is 4.5 m long and 3 m wide and holds 50… · 2009
ABC26GN4771 · Find the number of lead balls, each 1 cm in diameter that can be made from a sphere of diameter 12 cm. 4 3 3
ABC26GN4813 · If a river 2.5 m deep and 45 m wide is flowing at the rate of 3.6 km per hour, then the amount of water that runs into the sea per minute is
ABC26GN4772 · Three spheres of radii 3 cm, 4 cm and 5 cm are melted to form a new sphere. Find the radius of the new sphere. · 2010
ABC26GN4814 · A rectangular water tank is 80 m 40 m. Water flows into it through a pipe 40 sq. cm at the opening at a speed of 10 km/hr. By how much, the…
ABC26GN4773 · How many spherical bullets can be made out of a lead cylinder 28 cm high and with base radius 6 cm, each bullet being 1.5 cm in diameter? · 2003
ABC26GN4815 · A rectangular tank is 225 m by 162 m at the base. With what speed must water flow into it through an aperture 60 cm by 45 cm so that the… · 2006
ABC26GN4774 · A copper sphere of diameter 18 cm is drawn into a wire of diameter 4 mm. Find the length of the wire.
ABC26GN4816 · The water in a rectangular reservoir having a base 80 m by 60 m is 6.5 m deep. In what time can the water be emptied by a pipe of which the…
ABC26GN4775 · Two metallic right circular cones having their heights 4.1 cm and 4.3 cm and the radii of their bases 2.1 cm each, have been melted…
ABC26GN4817 · Rita and Meeta both are having lunch boxes of a cuboidal shape. Length and breadth of Rita's lunch box are 10\% more than that of Meeta's… · 2010
ABC26GN4776 · A cone and a sphere have equal radii and equal volumes. Find the ratio of the diameter of the sphere to the height of the cone.
ABC26GN4818 · The sum of the length, breadth and depth of a cuboid is 19 cm and its diagonal is 5 √(5) cm. It surface area is
ABC26GN4819 · The sum of perimeters of the six faces of a cuboid is 72 cm and the total surface area of the cuboid is 16 cm2. Find the longest possible…
ABC26GN4778 · A hemispherical bowl of internal radius 9 cm contains a liquid. This liquid is to be filled into cylindrical shaped small bottles of…
ABC26GN4820 · A swimming pool 9 m wide and 12 m long is 1 m deep on the shallow side and 4 m deep on the deeper side. Its volume is :
ABC26GN4779 · A cone, a hemisphere and a cylinder stand on equal bases and have the same height. Find the ratio of their volumes.
ABC26GN4821 · Length of a rectangular solid is increased by 10\% and breadth is decreased by 10\%. Then the volume of the solid
ABC26GN4780 · A cylindrical container of radius 6 cm and height 15 cm is filled with ice-cream. The whole ice-cream has to be distributed to 10 children…
ABC26GN4822 · The length, breadth and height of a cuboid are in the ratio 1 : 2 : 3. The length, breadth and height of the cuboid are increased by 100\%…