a decorative block made up of two solids a cube and a hemisphere The base of the block is a cube of slide is 6cm and the hemisphere fixed on the top has a diameter of 3.5cm .find the surface area of the block.
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ramya321:
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The answer is wrong, it should be 225.625 cm²
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Answer:
Step-by-step explanation:
This is a question on surface area.
The formula for the surface areas of the shapes in question is given by:
Area of a cube = 6L² where l is the sides of the cube.
Surface area of a hemisphere = 2πr²
Given that the side of the cube is larger than the diameter of the hemisphere the hemisphere does not fully cover the top of the cube.
The areas are as follows:
Area of the hemisphere = 22/7 × 2 × (3.5/2)² = 19.25 cm²
Area of the cube = 6 × 6 × 5 = 180 cm²
Area of the top of the cube = (6 × 6) - 22/7 × (3.5/2)² = 26.375 cm²
Total area = 19.25 + 180 + 26.375 = 225.625 cm²
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