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Showing posts with the label Mensuration

A sphere and a cube have the same surface area. Show that the ratio of the volume of the sphere to that of the cube is √6 : √pi

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Marbles of diameter 1.4cm are dropped into a beaker containing some water and are fully submerged. The diameter of the beaker is 7cm. Find how many marbles have been dropped in it if the water rises by 5.6cm.

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A hollow garden roller, 63cm wide with a girth of 440cm is made of 4cm thick iron. Find the volume of the iron.

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A semicircular sheet of metal of diameter 28cm is bent into an open conical cap. Find the depth and capacity of cup. (√3=1.73)

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Find the length of 13.2 Kg copper wire of diameter 4mm, when 1 cubic cm of copper weighs 8.4gm.

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A bucket is in the form of a frustum of a cone and holds 28.490 ltrs of water. The Diameter of the top and bottom are 28cm and 21cm respectively. Find the height of the bucket.

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An oil funnel of tin sheet consists of a cylindrical portion 10 cm long attached to a frustum of cone. If diameter of the top and bottom of the frustum is 18cm and 8cm respectively and the slant height of the frustum of cone is 13cm. Find the surface area of the tin required to make the funnel. (Express your answer in terms of pi)

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