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Mathematics, 09.03.2021 22:30 abby6213

A piece of solid, spherical glass has a circumference of 31 cm. The sphere is cut in half, creating two identical hemispheres. Geena plans to paint one of the hemispheres to give as a gift. To determine the minimum amount of paint needed, she computes the following. c = 2\pi \: r \:  \:  \:  \:  \:  \:  \:  \: sa =  \frac{1}{2} (4\pi \: {r}^{2}


3\pi = 2\pi \: r \:  \:  \:  \: \:  \: sa =  \frac{1}{2}(4\pi(1.5 {)}^{2} )
r = 1.5 \: cm \:  \:  \:  \:  \:sa =  \frac{1}{2} (4\pi(2.25))
\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: sa = 4.5\pi \: c {m}^{2}

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