SOLUTION: two cylinders have the same surface area. the shorter has a radius of 3 cm and a hight of 2 cm, the taller one has a radius of 1 cm. calculate : a)the surface area of one of them

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Question 715158: two cylinders have the same surface area. the shorter has a radius of 3 cm and a hight of 2 cm, the taller one has a radius of 1 cm.
calculate :
a)the surface area of one of them
b)hight of taller cylinder

Answer by MathLover1(20850) About Me  (Show Source):
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a)the surface area of one of them
the shorter has the surface area:
Surface+_area+=+2%28pi%29r%5E2+%2B+height+%2A+2%28pi%29r....r=3cm and h=2cm
Surface_+area+=+2%283.14%29%2A3%5E2+%2B+2%2A+2%2A%283.14%29%2A3
Surface_+area+=+2%283.14%29%2A9+%2B+4%2A%283.14%29%2A3
Surface_+area+=+56.52+%2B+37.68
Surface_+area+=+94.2cm%5E2


b)height of taller cylinder
it has a radius of r=1cm and same surface area
94.2=+2%28pi%29%2A1%5E2+%2B+height+%2A+2%28pi%29%2A1
94.2=+2%283.14%29%2A1%5E2+%2B+height+%2A+2%283.14%29%2A1
94.2=+6.28+%2B+height+%2A+6.28
94.2-+6.28=+height+%2A+6.28
87.92=+height+%2A+6.28
87.92%2F6.28=+height+
14cm=+height+