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Step-by-step explanation:

Formula for finding surface area of a cylinder 2pirh+2pr^2

so, substitute and you get 565.5. The formula for finding surface area of a sphere is 4pir^2.

Substitute again and you get: 452.5/2(half sphere)

271.3+565.5= 836.8

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we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

the answer is b