491.A spherical copper shell, of external diameter 18 cm, is melted and recast into a solid cone of base radius 14 cm and height Find the inner diameter of the shell.
Let R be the external radius of the copper shell r be the internal radius, h be the height of the conical part and r1 be its radius. Now, External d of copper shell = 18 cm.
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492.A farmer connects a pipe of internal diameter 20 cm from a canal into a cylindrical tank in his field, which is 10 m in diameter and 2 m deep. If water flows through the pipe at the rate of 6km/h, in how much time will the tank be filled?
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493.A cubical block of side 7 cm is surmounted by a hemisphere. What is the greatest diameter the hemisphere can have ? Find the surface area of the solid.
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494.Three cubes each of side 5 cm are joined end to end. Find the surface area of the resulting cuboid.
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495.Two cubes each of volume 64 m3 are joined end to end. Find the surface area and volume of the resulting cuboid.
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496.Three cubes of side 6 cm are joined end to end. Find the surface area of the resulting cuboid.
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497.A piece of metal in the form of a cone of diameter 2 cm and height 9 cm is melted and recast into a cylinder of radius 1 cm. Find the height of the cylinder.
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498.
A cone 8.4 cm high and the radius of its base is 2.1 cm it is melted and recast into a sphere. Find the radius of the sphere.
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499.A copper rod of diameter 1 cm and length 8 cm is drawn into a wire of length 18 m of uniform thickness. Find the thickness of the wire.
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500.A metallic sphere of, radius 8 cm is melted into three spheres. Radii of two spheres are 6 cm and 4 cm. Find the radius of the third sphere.
Short Answer Type
Find the inner diameter of the shell.
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