The total surface area of a cylinder is 352cm square . if its height is 10cm, then find the diameter of the base
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TSA=352 cm square
height=10cm
TSA of cylinder=2πrh+2πr^2
2πrh+2πr^2=352
2*22/7*r*10+2*22/7*r^2=352
440r/7+44r^2/7=352
44/7[10r+r^2]=352
10r+r^2=352*7/44
10r+r^2=56
r^2+10r-56=0
r^2+14r-4r-56=0
r(r+14)-4(r+14)=0
(r+14)(r-4)=0
r=-14, 4
radius=4cm
diameter=8cm
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height=10cm
TSA of cylinder=2πrh+2πr^2
2πrh+2πr^2=352
2*22/7*r*10+2*22/7*r^2=352
440r/7+44r^2/7=352
44/7[10r+r^2]=352
10r+r^2=352*7/44
10r+r^2=56
r^2+10r-56=0
r^2+14r-4r-56=0
r(r+14)-4(r+14)=0
(r+14)(r-4)=0
r=-14, 4
radius=4cm
diameter=8cm
hope it helps you.
mark as the brainliest.
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