The total surface area of a solid right circular cylinder is 231 cm2. Its curved surface is 2:3 of the total surface.Determine the radius of its base and height.
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Total surface area of cylinder= 231cm sq.
Curved surface area = 2/3 of TSA
So, CSA= 2/3× 231
CSA= (77×2) = 154 cm sq.
Now, TSA of cylinder= 2πrh ( h+ r)
231 = 2πrh+ 2πrsq.
231=154+ 2πrsq. [ CSA of cylinder= 154 cm sq.]
77= 2πrsq.
77= 2×22/7×rsq.
77×7/2×22=rsq.
r= 7/2 cm
CSA of cylinder= 2πrh
154= 2× 22/7 × 7/2×h
154= 22h
h= 7 cm
Therefore, radius of cylinder= 3.5 cm and
height of cylinder= 7cm
hope it helped n satisfied u!!!!!
:)
Curved surface area = 2/3 of TSA
So, CSA= 2/3× 231
CSA= (77×2) = 154 cm sq.
Now, TSA of cylinder= 2πrh ( h+ r)
231 = 2πrh+ 2πrsq.
231=154+ 2πrsq. [ CSA of cylinder= 154 cm sq.]
77= 2πrsq.
77= 2×22/7×rsq.
77×7/2×22=rsq.
r= 7/2 cm
CSA of cylinder= 2πrh
154= 2× 22/7 × 7/2×h
154= 22h
h= 7 cm
Therefore, radius of cylinder= 3.5 cm and
height of cylinder= 7cm
hope it helped n satisfied u!!!!!
:)
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