Question

the total surface area of cylinder is 231 CM square and its curved surface area is 2/3 of total surface area find the volume of cylinder​

Answer 1

T.S.A=2πrh(h+r)

C.S.A=2/3(2πrh(h+r))

=4πr^2h/3

according to statement

4πr^2h/3=231........

.............solve the equation....

πr^2h=173.35cm^3

⬆️⬆️

volume.. mmmmm

Answer 2

Hey mate

the answer to your question is :

t.s.a = 231

so, a.t.q.

c.s.a = 2/3 * 231

c.s.a = 154 cm^2

so, 2πrh = 154

a.t.q.

2π r(r+h) = 231

2 πr^2 + 2π rh = 231

putting value of 2πrh

2πr^2 = 231 - 154

2πr^2 = 77

r^2 = (77*7)÷(2*22)

r=7/2 cm

r=3.5 cm

after putting value of r in first equation

h = (154 * 7) ÷ (2*22*7/2)

h = 7 cm

So, volume = 22/7 × 7/2×7/2×7

volume = 539/2

volume = 269 .5 cm ^ 3

hope it helps