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The curved surface area of a cone is 2376 square cm and its slant height is 18 cm. Find the diameter.

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Important Questions on Geometry and Mensuration

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The ratio of the radii of a cylinder to that of a cone is 1:2. If their heights are equal, find the ratio of their volumes?
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The circumference of a circle exceeds its diameter by 16.8 cm. Find the circumference of the circle.
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A bicycle wheel makes 5000 revolutions in moving 11 km. What is the radius of the wheel?
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The short and the long hands of a clock are 4 cm and 6 cm long respectively. What will be sum of distances travelled by their tips in 4 days. ( Take π=3.14)
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Seven equal cubes each of side 5 cm are joined end to end. Find the surface area of the resulting cuboid.
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A hollow spherical shell is made of a metal of density 4.9 g/cm3. If the internal and external radii are 10 cm and 12 cm respectively, find the weight of the shell. (Take π=3.1416)
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In the given diagram a rope is wound around the outside of a circular drum whose diameter is 70 cm and a bucket is tied to the other end of the rope. Find the number of revolutions made by the drum if the bucket is raised by 11 m.

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A cube whose edge is 20 cm long has circles on each of its faces painted black. What is the total area of the unpainted surface of the cube if the circles are of the largest area possible?