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Answers
TSA of cylinder = 231
i.e 2πr(r+h) = 231 - (1)
According to the condition given in the question,
CSA of cylinder = 2/3 TSA of cylinder
2πrh = 2/3 πr(r+h)
(2πr is cancelled)
h = 2/3 (r+h)
3h = 2r+2h
h = 2r
by substituting h = 2r in (1)
2×22/7×r(r+2r) = 231
44/7× 3r^2 = 231
r = 7/2
Hope it help you ;)
Hello mate,
Here is your answer
the total surface area of cylinder =231cm2
=> 2πr(r+h)=231 cm2
=> 2πr2+2πrh=231 cm2--------(a)
its curved surface area is=2/3(231)cm2 (given)
=> 2πrh=154 cm2 --------(b)
putting value of 2πrh from equ. (b) in equ. (a) we get
=> 2πr2+154=231
=>2πr2=231-154
=>2πr2=77
=>r2=77/(2π)
=> r2=12.25 (since π=22/7)
=> r=(12.25)1/2 cm = 3.5 cm
to find the value of h
now by putting the value of r=3.5cm in equ. (b) we get
=> 2πrh=154
=> 2(22/7)*3.5* h=154
=> 22h=154
=> h=154/22 cm = 7cm
pls Mark it as BRAINLIEST!!!!
Thanks!!!!