Can you pls solve the 19th question?? Please...
Answers
Answer:
Step-by-step explanation:
Total surface area ofcylinder=462cm²
2πr(r+h)=462cm² --------------1
It is given that
CSA of cylinder=1/3 TSA of cylinder
2πrh=1/3×2πr(r+h)
h=1/3×(r+h)
3h=r+h
3h-h=r
2h = r
h=r/2
Put the value of h in 1
We get r = 7 cm
h=7/2cm
Volume of cylinder=πr²h
= 22/7×7×7×7/2
=539cm³
Answer:
Step-by-step explanation:
TSA=462cm²
CSA=1/3*462
=154cm²
A.T.Q
CSA=1/3*TSA
1/3=CSA/TSA
1/3 =2πrh/2πr(r+h) (putting the formulas)
1/3=h/(h+r)
h+r=3h (cross multiplication)
3h-h=r
2h=r
now,we know that
CSA=2πrh
154=2*22/7*2h*h (r=2h)
(154*7)/22*2=2h²
1078/44=2h²
24.5=2h²
24.5/2=h²
h²=12.25
h=3.5
now we know
r=2h
r=2*3.5
r=7
now,
volume=πr²h
=22/7*(7)²*3.5
=22*7*3.5
=539cm³
HOPE IT HELPS:-)
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