A rectangular tin sheet is 12 cm long and 5 cm broad. It is rolled along its length to form a cylinder by making the opposite edges ju

Question

A rectangular tin sheet is 12 cm long and 5 cm broad. It is rolled along its length to form
a cylinder by making the opposite edges just to touch each other. The volume of the
cylinder is

explanation pls..​

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Eloise 2 weeks 2021-09-12T17:37:03+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-09-12T17:38:39+00:00

    \rm\huge\pink\underline\mathfrak\purple</em></strong><strong><em>A</em></strong><strong><em>N</em></strong><strong><em>S</em></strong><strong><em>W</em></strong><strong><em>E</em></strong><strong><em>R</em></strong><strong><em> :-}

    Given:

    Length of sheet = 12cm

    Breadth of sheet = 5cm

    To Find:

    Volume of cylinder.

    Formulae Used:

    πr²h

    Concept used:

    When the sheet is rolled then the breadth of the Rectangular sheet becomes the height of the Cylinder and length become the Circumference of the base of Cylinder.

    Therefore,

    —-> 2πr = 12

    —-> 2× 22/7×r = 12

    —-> 44r/7 = 12

    —-> 44r = 84

    —-> r = 84/44

    —-> r = 21/11

    Now,

    > Volume of cylinder = πr²h

    = 22/7× 21/11× 5

    = 22× 3/11 × 21/11 × 5

    = 6930/22

    = 315cm³

    Hence, The Volume of Cylinder is 315cm³.

    HOPE IT HELP YOU

    0
    2021-09-12T17:38:56+00:00

    GIVEN:-

    • \rm{Length\:of\:Sheet = 12cm}

    • \rm{Breadth\:of\:Sheet = 5cm}

    TO FIND:-

    • The Volume of Cylinder.

    FORMULAE USED

    • {\huge{\boxed{\rm{ \pi r^2h}}}}

    CONCEPT USED

    • When the sheet is rolled then the breadth of the Rectangular sheet becomes the height of the Cylinder and length become the Circumference of the base of Cylinder.

    Therefore,

    \implies\rm{ 2\pi r = 12}

    \implies\rm{ 2\times{\dfrac{22}{7}}\times{r} = 12}

    \implies\rm{\dfrac{44r}{7} = 12}

    \implies\rm{ 44r = 84}

    \implies\rm{ r = \dfrac{84}{44}}

    \implies\rm{ r = \dfrac{21}{11}}

    Now,

    \implies\rm{Volume\:of\:Cylinder= \pi r^2h}

    \implies\rm{Volume\:of\:cylinder = \dfrac{22}{7}\times{\dfrac{21}{11}}\times{\dfrac{21}{11}}\times{5}}

    \implies\rm{ Volume\:of\:cylinder =22\times{\dfrac{3}{11}}\times{\dfrac{21}{11}}\times{5}}

    \implies\rm{Volume\:of\:cylinder = \dfrac{6930}{22}}

    \implies\rm{Volume\:of\:cylinder  = 315cm^3}.

    Hence, The Volume of Cylinder is 315cm³.

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