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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