The volume and CSA of a cylinder is 2310 cm and 660 cm respectively find its base radius and height
Answers
The radius is 7 cm and the height of the cylinder is 15 cm.
Step-by-step explanation:
Volume of cylinder = 2310 cm^3
CSA of cylinder = 660
CSA of cylinder = 2πrh
660 = 2 x 22/7 x r x h
rh = 105 --- (1)
- Volume of cylinder = πr^2h
2310 = 22/7 x r x rh
2310 x 7 / 22 = r x 105
r = 735 / 105
r = 7 cm
- Now putting r in equation (1) we get.
rh = 105
(7) h = 105
h = 105 / 7
h= 15 cm
Hence the radius is 7 cm and the height of the cylinder is 15 cm.
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Answer:
Answer:
Given:-
The volume and CSA of a cylinder is 2310 cm and 660 cm.
To find:-
Fine the the base radius and height ....?
Solutions:-
Volume of cylinder = 2310cm²
CSA of cylinder = 660cm²
CSA of cylinder = 2πrh
660 = 2 × 22/7 × rh
660 × 7 / 44 = rh
105 = rh
Volume of cylinder = πr²h
2310 = 22/7 × r × rh
2310 = 22/7 × r × 105
2310 × 7 / 22 × 105 = r
210 / 2 × 105 = r
14 / 2 = r
7 = r
r = 7cm
Now, putting the value of r in eq (i).
105 = rh
105 = 7 × h
105/7 = h
15 = h
h = 15cm
Hence, the base of radius is 7cm and height is 15cm.
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