Arthur D. answered 09/20/17
Tutor
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Forty Year Educator: Classroom, Summer School, Substitute, Tutor
SA=lateral area plus top circle area plus bottom circle area
SA=C*h+2∏r^2
SA=2(∏)(r)(h)+2(∏)(r^2)
381=2(3.14159)(r)(20)+2(3.14159)(r^2)
divide both sides by 2(3.14159)=6.28318
60.63808=20r+r^2
r^2+20r-60.63808=0
use the quadratic formula
[-20±√(400+242.5523)]/2
[-20±√642.5523]/2
[-20±25.3486]/2
5.3486/2
2.6742 cm=r (answer)