Math, asked by rosy43, 1 year ago

pls do it very urgent

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Answers

Answered by vikashini
1
Answer is 269.5
2*pi*r^2 + 2*pi*r*h =231
2*pi*r*h = 154
2*22/7*r^2 = 231 - 154
R^2= 77*7/22*2
R^2 = 49/4
R = 7/2
2*pi*r*h=154
h= 154*7/22*2/7
h=7
Volume = 22/7*49/4*7
269.5
Answered by pratik40
1
hi!
here is your answer

we have been given that,

C.S.A =2 / 3 × T.S.A

we know that

2πrh = 2/3 × 2πr( h + r )

2πrh × 3 = 2 × 2πr(h+r)

[Divide both sides by 2πr]

h × 3 = 2×(h+r)

3h = 2h +2r

3h - 2h = 2r

h = 2r............................(1)

Total surface area of cylinder
=231 sq.m ..............(given)

2πr(h+r) = 231

2 × 22/7 ×r (2r + r) =231..(from1)

2×22/7 ×r(3r) =231

2×22/7 ×3r^2=231

2×22×3r^2 = 231 × 7

132r^2 = 1617

r^2 = 1617/132

r^2 = 12.25

r = 3.5

h = 2r ....................from (1)
h = 2(3.5)
h = 7m.

So,
now
we have,
r = 3.5m. h = 7m

We know that,

Volume of cylinder = πr^2h
=22/7 ×(3.5)^2 × 7
=22 × 12.25
=269.50 cu.m

Therefore,
The volume of the cylinder is
269.50 cu.m

hope this helps ! ! !#
________________________
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