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A cubical block of side 7 cm is surmount...

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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To solve the problem step by step, we will first determine the greatest diameter of the hemisphere that can be placed on top of the cubical block and then calculate the surface area of the solid formed by the cube and the hemisphere. ### Step 1: Determine the greatest diameter of the hemisphere The side length of the cubical block is given as 7 cm. The greatest diameter of the hemisphere that can be placed on top of the cube is equal to the side length of the cube. **Calculation:** - Diameter of the hemisphere = Side length of the cube = 7 cm ...
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