Calculate the total surface area of a solid hemisphere with radius 6 cm. Answer ... cm^2

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Worked solution

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1. Recall and apply the formula for total surface area of a solid hemisphere

For a solid hemisphere,
Total surface area=2πr2+πr2=3πr2.\text{Total surface area}=2\pi r^2+\pi r^2=3\pi r^2.

2. Substitute the radius and calculate the surface area

Given r=6r=6 cm,
Total surface area=3π(6)2=108π.\text{Total surface area}=3\pi(6)^2=108\pi.
Using a calculator,
108π=339.292…≈339.108\pi=339.292\ldots\approx 339.

Answer

108π cm2108\pi\text{ cm}^2 or 339 cm2339\text{ cm}^2

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