Find the surface area of the hemisphere. Round your answer to the nearest hundredth

Joram asked Jan 5, 2023

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Joram asked Jan 5, 2023

by Joram

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25 votes

$Answer:\ the\ surface\ area\ is\ about\ 157.08\ square\ meters.$

Explanation:

Formula for the surface area of a sphere

$\boxed {S_(surface)=4\pi r^2}$

Hence, the formula for the surface area of a hemisphere:

$\displaystyle\\\boxed {S_(hemisphere)=(4\pi r^2)/(2) =2\pi r^2}$

$S_(hemisphere)=2*\pi *5^2\\\\S_(hemisphere)=2*\pi *5*5\\\\S_(hemisphere)=2*\pi *25\\\\S_(hemisphere)=50*\pi \\\\S_(hemisphere)\approx157.08\ m^2$

Fdetsch answered Jan 9, 2023

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