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Answer:
x = 10 cm
Step-by-step explanation:
The volume formula is ...
V = πr²h
The surface area formula is ...
A = 2πr(r +h)
For r = 2.5 and h = x, we want to find x such that V = A.
π(2.5²)x = 2π(2.5)(2.5 +x)
2.5x = 2(2.5 +x) . . . . . . . . . . . divide by 2.5π
2.5x = 5 +2x . . . . . . . . . eliminate parentheses
0.5x = 5 . . . . . . . . . subtract 2x
x = 10 . . . cm . . . . . multiply by 2
