Find volume of cyclinder if TSA is 1188sq. Cm and CSA is 880sq. cm
Answers
Answered by
0
2πr(h+r)=1188======1
2πrh=880======2
put 2 in 1
880+ 2πr^2=1188
2πr^2=308
r^2=154×7/22=7×7
r=7
put in 2
2×22/7×7×h=880
h=20
volume=2πr^2h=2×22/7×7×7×20=6160
2πrh=880======2
put 2 in 1
880+ 2πr^2=1188
2πr^2=308
r^2=154×7/22=7×7
r=7
put in 2
2×22/7×7×h=880
h=20
volume=2πr^2h=2×22/7×7×7×20=6160
Answered by
4
Hi...☺
Here is your answer...✌
==================================
GIVEN:
TSA of Cylinder = 1188 cm²
2πrh+2πr² = 1188cm² ____(1)
And,
CSA of Cylinder = 880 cm²1
2πrh = 880 cm² ____(2)
Now subtracting (2) from (1)
We get,
2πrh+2πr²-2πrh = 1188 - 880
2πr² = 308
(22/7)r² = 308/2
r² = 154×7/22
r² = 49
=> r = 7 cm
Putting in eq(2)
we get,
2π(7)h = 880
(22/7)×7h = 880/2
22h = 440
=> h = 20 cm
Now,
Volume of Cylinder = πr²h
= (22/7)×49×20
= 22×7×20
= 3080 cm³
Here is your answer...✌
==================================
GIVEN:
TSA of Cylinder = 1188 cm²
2πrh+2πr² = 1188cm² ____(1)
And,
CSA of Cylinder = 880 cm²1
2πrh = 880 cm² ____(2)
Now subtracting (2) from (1)
We get,
2πrh+2πr²-2πrh = 1188 - 880
2πr² = 308
(22/7)r² = 308/2
r² = 154×7/22
r² = 49
=> r = 7 cm
Putting in eq(2)
we get,
2π(7)h = 880
(22/7)×7h = 880/2
22h = 440
=> h = 20 cm
Now,
Volume of Cylinder = πr²h
= (22/7)×49×20
= 22×7×20
= 3080 cm³
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