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How many cubic metres of earth must be dug to construct a well 7 m deep and of diameter 2.8
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Jan 17, 2022
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The radius and height of a cylinder are in the ratio 3:2 and its volume is 19,404 `cm^3`. Find its radius and
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The thickness of a hollow metallic cylinder is 2 cm. It is 70 cm long with outer radius of 14 cm. Find the volume of the metal used in making the cylinder, assuming that it is open at both the ends. Also find its weight if the metal weighs 8 g per
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Radius of a cylinder is r and the height is h. Find the change in the volume if the (a) height is doubled. (b) height is doubled and the radius is halved. (c) height remains same and the radius is
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If the length of each edge of a cube is tripled, what will be the change in its
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A carpenter makes a box which has a volume of 13,400 `cm^3`. The base has an area of 670 `cm^2`. What is the height of the
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A cuboidal tin box opened at the top has dimensions `20 cm xx 16 cm xx 14 cm`. What is the total area of metal sheet required to make 10 such
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Find the capacity of water tank, in litres, whose dimensions are 4.2 m, 3 m and 1.8
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How many cubes each of side 0.5 cm are required to build a cube of volume 8 `cm^3`
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A wooden box (including the lid) has external dimensions 40 cm by 34 cm by 30 cm. If the wood is 1 cm thick, how many `cm^3` of wood is used in
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A river 2 m deep and 45 m wide is flowing at the rate of 3 km per hour. Find the amount of water in cubic metres that runs into the sea per
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Find the area to be painted in the following block with a cylindrical hole. Given that length is 15 cm, width 12 cm, height 20 cm and radius of the hole 2.8 cm.
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Jan 17, 2022
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A truck carrying 7.8 `m^3` concrete arrives at a job site. A platform of width 5 m and height 2 m is being contructed at the site. Find the length of the platform, constructed from the amount of concrete on the
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A hollow garden roller of 42 cm diameter and length 152 cm is made of cast iron 2 cm thick. Find the volume of iron used in the
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Three cubes each of side 10 cm are joined end to end. Find the surface area of the resultant
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Jan 17, 2022
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Below are the drawings of cross sections of two different pipes used to fill swimming pools. Figure A is a combination of 2 pipes each having a radius of 8 cm. Figure B is a pipe having a radius of 15 cm. If the force of the flow of water coming out of the pipes is the same in both the cases, which will fill the swimming pool faster?
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A swimming pool is 200 m by 50 m and has an average depth of 2 m. By the end of a summer day, the water level drops by 2 cm. How many cubic metres of water is lost on the
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Jan 17, 2022
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A housing society consisting of 5,500 people needs 100 L of water per person per day. The cylindrical supply tank is 7 m high and has a diameter 10 m. For how many days will the water in the tank last for the
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Metallic discs of radius 0.75 cm and thickness 0.2 cm are melted to obtain 508.68 `cm^3` of metal. Find the number of discs melted (use π =
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Jan 17, 2022
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The ratio of the radius and height of a cylinder is 2:3. If its volume is 12,936 `cm^3`, find the total surface area of the
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Jan 17, 2022
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