Question

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

Answer 1

`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`