SOLUTION: To Whomever can assist, Thank You! If the total surface area of a right circular cylinder is 104PIE square meters and a radius of the base is 4 meters long, find the height of t

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Question 57941This question is from textbook Elementary and Intermediate Algebra
: To Whomever can assist, Thank You!
If the total surface area of a right circular cylinder is 104PIE square meters and a radius of the base is 4 meters long, find the height of the cylinder.This question is from textbook Elementary and Intermediate Algebra

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
CIRCUMFERANCE OF THE BASE=2PIR THUS
C=2PI4
C=2*PI*4
C=8PI
THE AREA OF THE TOP IS A=PIR^2
A=PI*4^2
A=PI*16 OR A=16PI AND THERE ARE 2 CIRCULAR AREAS (TOP & BOTTOM) THUS
2*PI*16=32PI
THE CYLINDER SIDE AREA IS 8P1*HEIGHT
THUS THE TOTAL SURFACE AREA BEING 104PI=32PI+8PI*H
104PI-32PI=8PI*H
72PI=8PI*H
H=72PI/8PI
H=9 METERS