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Mathematics 10 Online
OpenStudy (anonymous):

URGENTTTTT!!! The diagram shows a solid hemisphere of radius 5 cm

OpenStudy (anonymous):

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OpenStudy (anonymous):

The diagram shows a solid hemisphere of radius 5 cm

OpenStudy (anonymous):

Find the total surface area of the solid hemisphere. Give your answer in terms of .

OpenStudy (anonymous):

i know the answer is 75pi but i dunoo why???

OpenStudy (anonymous):

Do you know the surface area of a sphere? \(A=4\pi r^2\) Since we want the surface area of only a hemisphere, just divide by two:$$A=4\pi(5)^2=100\pi\\\frac12 A=50\pi$$Done, right? .... not yet! We've computed the area for the curved top so far, but we have that solid circular face on the bottom. Since its merely a circle with the same radius, we use \(A=\pi r^2\) to find its area:$$A=\pi(5)^2=25\pi$$Now add these two parts to get our total surface area: \(A=75\pi\)

OpenStudy (anonymous):

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