Math, asked by rajrupesh456, 7 months ago

A plastic cylinder with the circular base of diameter 7cm and height 10cm. which container has greater capacity and by how much?​

Answers

Answered by Abhishek474241
14

Correct Question

A plastic cylinder with the circular base of diameter 7cm and height 10cm.And a plastic tube in which r =14 height 5cm which container has greater capacity and by how much

AnSwEr

{\tt{\red{\underline{\large{Given}}}}}

  • Cylindrical plastic
  • r = 7/2 Height = 10cm

  • Plastic tube
  • r=5 and h = 8cm

{\sf{\green{\underline{\large{To\:find}}}}}

  • Which container has greater capacity

  • And by how much

{\sf{\pink{\underline{\Large{Explanation}}}}}

We know that

Volume of cylinder = πr²h

For cylindrical container

  • Volume = πr²h

putting values

  = \frac{22}{7}  \times 7  \times 5 \\  = 110

110cm³

For cylindrical tube

  • Volume = πr²h

putting values

 =  \frac{22}{7}  \times14  \times 5

=220cm³

Here volume of cylindrical tube

Comparing

=(220-110)cm³

=110cm³

Answered by Anonymous
11

{ \huge{ \bold{ \underline{ \underline{ \purple{Question:-}}}}}}

A plastic cylinder with the circular base of diameter 7cm and height 10cm. which container has greater capacity and by how much?

{ \huge{ \bold{ \underline{ \underline{ \red{Answer:-}}}}}}

Given : -

  • Radius(r) = 7/2
  • Height(h) = 10cm

To Find : -

  • Volume = ?

Formula Used : -

\leadsto\sf{{ \small{ \bold{ \bold{ \bold{ \green{Volume\:of\:Cylinder=\pi{{r}^{2}h}}}}}}}}

On Substituting Values : -

\dashrightarrow\sf{\dfrac{22}{{\cancel{7}}}\times{{\cancel{7}}}\times{5}}

\dashrightarrow\sf{22\times{5}}

\dashrightarrow\sf{110{cm}^{3}}

For Cylindrical Tube : -

Formula Used : -

\leadsto\sf{{ \small{ \bold{ \bold{ \bold{ \green{Volume\:of\:Cylinder=\pi{{r}^{2}h}}}}}}}}

On Substituting Values : -

\dashrightarrow\sf{\dfrac{22}{{\cancel{7}}}\times{{\cancel{14}}}\times{5}}

\dashrightarrow\sf{22\times{2}\times{5}}

\dashrightarrow\sf{220{cm}^{3}}

Now ,

On Comparing : -

\dashrightarrow\sf{(220-110){cm}^{3}}

\dashrightarrow\sf\bold{110{cm}^{3}}

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