451.A cone and a hemisphere have equal bases and equal volumes. Find the ratio of their heights.
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452.If the surface are as of two spheres are in the ratio 4 : 9, then find the ratio of their volumes.
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453.If two cones have their volumes in the ratio 3 :1 and their heights are in the ratio 1 : 3, then find the ratio of their radius.
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454.The radius of a solid hemispherical toy is 3.5 cm. Find the total surface area.
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455.If the number of square centimetres on the surface of a sphere is equal to the number of cubic centimetres in its volume, what is the diameter of the sphere?
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456.Determine the ratio of the volume of a cube to that of a sphere which will exactly fit inside the cube.
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457.A cylinder and a cone are of the same base radius and of same height. Find the ratio of the volume of cylinder to that of the cone.
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458.A right circular cylinder and a right circular cone have the same base radius and same height. What is the ratio of the volume of the cylinder to that of cone?
459.Find the maximum volume of a cube that can be carved out of a solid hemisphere of radius r.
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460.A glass cylidner with diameter 20 cm has water to a height of 9 cm. A metal cube at 8 cm edge is immersed in it completely. Calculate the height by which water will rise in the cylinder.
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