Problem 1 :
Solution :
Radius r = 3 cm
Surface area = 84π cm²
Surface area of cylinder = 2πrh
84π = (2) (3) π h
84 = 6h
h = 84/6
h = 14 cm
Height of cylinder is 14 cm.
Problem 2 :
Solution :
Radius r = 10 cm
Surface area = 900π cm²
Surface area of cylinder = 2πrh
900π = (2) (10) π h
900 = 20h
h = 900/20
h = 45 cm
Height of cylinder is 45 cm.
Problem 3 :
Solution :
Radius r = 8 cm
Surface area = 56π cm²
Surface area of cylinder = 2πrh
56π = (2) (8) π h
56 = 16h
h = 56/16
h = 3.5 cm
Height of cylinder is 3.5 cm.
Work out the radius of each cylinder below
Problem 4 :
Solution :
Height h = 8 cm
Surface area = 18π cm²
Surface area of cylinder = 2πrh
18π = (2) (8) π r
18 = 16r
r = 18/16
r = 1.125 cm
Radius of cylinder is 1.125 cm.
Problem 5 :
Solution :
Height h = 7 cm
Surface area = 36π cm²
Surface area of cylinder = 2πrh
36π = (2) (7) π r
36 = 14r
r = 36/14
r = 2.571 cm
Radius of cylinder is 2.571 cm.
Problem 6 :
Solution :
Height h = 6 cm
Surface area = 1040π cm²
Surface area of cylinder = 2πrh
1040π = (2) (6) π r
1040 = 12r
r = 1040/12
r = 86.7 cm
Radius of cylinder is 86.7 cm.
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