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What is the surface area of the largest sphere that can be carved out from a cube of side 8 centimetres?

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What is the radius of the largest sphere that can be carved from a cube of edge 12 centimetres?

What is the volume of the cone of maximum size that can be carved from a cube of edge 12 centimetres?

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What is the surface area of a square pyramid with base edges 10 centimetres and lateral edges 13 centimetres?

What is the base edge of a square pyramid of maximum size that can be carved out from a hemisphere of radius 5 cm?

What is the perimeter of a square of side 5 centimetres. What about a square of perimeter 6 cenitmetres? In what all ways can we say the relation between the length of a side and perimeter of a square?

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What is the circum radius of an equilateral triangle of sides 8 centimetres?

A solid is made by fixing a hemisphere of same radius on the flat face of a cone. The height of the cone is 12 centimetres, and its slant height is 13 centimetres. a) What is the radius of the cone? b) What is the curved surface area of the hemisphere. c) What is the total surface area of the solid?

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