if the ratio of radii of two cylinders of equal height is 1 ratio 3 find the ratio of their curved surface areas
Answers
Answer:
1:3
Step-by-step explanation:
Let the common multiple be x.
Radius of 1st cylinder = x
Radius of 2nd cylinder = 3x
Curved Surface Area of 1st cylinder = 3.14 x Radius x h
Curved Surface Area of 2nd cylinder = 3.14 x Radius x h
CSA of 1st Cylinder/ CSA of 2nd Cylinder = 3.14 x x x h/ 3.14 x 3x x h
= x/3x
= 1/3
CSA of 1st Cylinder : CSA of 2nd cylinder = 1:3
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Answer:
1:3
Step-by-step explanation
The Radius of the 1st cylinder = Y
The Radius of 2nd cylinder = 3Y
Curved Surface Area of 1st cylinder = 3.14 x Radius x h
Curved Surface Area of 2nd cylinder = 3.14 x Radius x h
CSA of 1st Cylinder/ CSA of 2nd Cylinder = 3.14 x Y x h/ 3.14 x 3Y = Y/3Y = 1/3
CSA of 1st Cylinder : CSA of 2nd cylinder = 1:3