Asked by John
The surface area of acone with height 15 cm is 500π square cm. Find the radius of the cone. Round your answer to two decimal places.
Answers
Answered by
Mgraph
The surface area
SA=Pi*r^2+Pi*r*s, s=sqrt(r^2+h^2)
500*Pi=Pi*r^2+Pi*r*sqrt(r^2+225)
500=r^2+r*sqrt(r^2+225)
500-r^2=r*sqrt(r^2+225)
(500-r^2)^2=(r*sqrt(r^2+225))^2
250000-1000r^2+r^4=r^2(r^2+225)
250000=1225r^2
r^2=250000/1225
SA=Pi*r^2+Pi*r*s, s=sqrt(r^2+h^2)
500*Pi=Pi*r^2+Pi*r*sqrt(r^2+225)
500=r^2+r*sqrt(r^2+225)
500-r^2=r*sqrt(r^2+225)
(500-r^2)^2=(r*sqrt(r^2+225))^2
250000-1000r^2+r^4=r^2(r^2+225)
250000=1225r^2
r^2=250000/1225
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