Question

halo
it's me Sam
Question:)
A cylinder is made of a rectangular sheet, whose length and breadth are 88cm and 50cm respectively, by rolling it along its length. Find the volume of the cylinder?

guys tell me correct ans please!!
the ans is 30800cm²
have a gud day!!​

Answer 1

Given:-

• length of the rectangle = 88cm.
• breadth of the rectangle = 50cm.
• this sheet is rolled on its length.

To find:-

• volume of the cylinder so formed.

Concept:-

• if the rectangle is rolled on its length, then the length of the reactangle wil become the circumference of the base of the cylinder and breadth will become the height of the cylinder

Formula:-

$\huge \fbox \blue{Volume = πr²h}$

tex]\huge \fbox \blue{Circumference = 2πr}[/tex]

Solution:-

$\implies$ $\sf 88 = 2πr$

$\implies$ $\sf 88 = 2×\dfrac{22}{7}×r$

$\implies$ $\sf \dfrac{88×7}{44} = r$

$\implies$ $\sf r = 14 cm$

$\implies$ $\sf volume = \dfrac{22}{7} × 14²×50$

$\implies$ $\sf volume = 30800 cm³$

______________________________

Additional information:-

• Total surface area of cylinder:-

$\implies$ $\underline{\boxed{\sf T.S.A = 2πr(r+h)}}$

• Curved surface area of cylinder

$\implies$ $\underline{\boxed{\sf C.S.A = 2πrh}}$

Answer 2

Answer:

length of the rectangle = 88cm.

breadth of the rectangle = 50cm.

this sheet is rolled on its length.

To find:-

volume of the cylinder so formed.

Concept:-

if the rectangle is rolled on its length, then the length of the reactangle wil become the circumference of the base of the cylinder and breadth will become the height of the cylinder

Formula:-

{Volume = πr²h}

Volume = πr²h

{Circumference = 2πr

Solution:-

88 = 2πr88=2πr

88 = 2×\dfrac{22}{7}×r88=2× 7

7

22

×r

{88×7}{44} = r

44

88×7

=r

r = 14 cm r=14cm

volume = {22{7× 14²×50 volume=

7

22

×14²×50

\implies⟹ \sf volume = 30800 cm³volume=30800cm³

______________________________

Additional information:-

Total surface area of cylinder:-

T.S.A = 2πr(r+h)

Curved surface area of cylinder

C.S.A = 2πrh