the radius of 2 cylinder are in ratio 5:7 and heights are in ratio 3:5 the ratio of there csa is
Answers
Answer:
.............................:)
Step-by-step explanation:
ANSWER
Step-by-step explanation:
Given :
• Ratio of radius of two cylinders = 5:7
• Ratio of the heights of cylinders = 3:5
To Find :
• The Ratio of CSA of cylinders
Solution :
Let the ratio constant be "X". Then the radius of the two cylinders becomes ,
• 5x and 7x
Let the ratio constant (in height's ratio) be "Y". Then the heights of two
cylinders becomes ,
.
3y and 5y
Curved surface area of cylinder is given by,
CSA(cylinder) = 27th
Where,
• ris radius of cylinder
• his height of cylinder
By the given data,
• Radius and height of first cylinder is 5x and 3y
• Radius and height of second cylinder is 7x and 5y.
First let us calculate the CSA of first cylinder,
: CSA(cylinders) = 27(5x)(3y) ........ (1)
The CSA of second cylinder is,
: CSA(cylinderz) = 2*(7x)(5y) ....... (2)
Now , Taking ratio ;
:= CSA(cylinders): CSA(cylinder 3) = 27(5x)(3): 29(7x)(5y)
: CSA cylinders): CSA(cylindera) = (5x)(3y): (7x)(5y)
: CSA(cylinder): CSA cylindera) = 15xy : 35xy
: CSA(cylinders) : CSA(cylinder z) = 15:35
CSA(cylinder): CSA(cylinders) = 3:7 *
Hence,
CLOSE
• The Ratio of CSA's of two given cylinders is 3:7.