Math, asked by RahulMukhi, 2 months ago

Can anyine solve this please ​

Attachments:

Answers

Answered by somya2563
115

Step-by-step explanation:

Hey there !

Here is your answer ⬇️

 \\

Given :-

Cylinder A

  • Height - 14 cm
  • Radius - 7 ÷ 2

Cylinder B

  • Height - 7cm
  • Radius - 14 ÷ 2

To Find :-

  • Greater Surface area and Volume of both Cylinders.

Formula Used :-

 \star\sf\red{ Surface \:  area \:  of  \: Cylinder} - 2\pi \: r(r + h)

\sf\star  \blue{Volume \:  of  \: Cylinder }- \pi \: r^2h

Required Solution :-

Cylinder A

Surface Area ⬇️

\sf : \implies \cancel \red2 \times  \dfrac{22}{\cancel \red7}  \times  \dfrac{\cancel \red7}{\cancel \red2} ( \dfrac{7}{2}  + 14)  \\ \sf  : \implies \cancel22( \frac{7 + 28}{ \cancel2}) \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \\   \sf: \implies 11 \times 35 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\\sf : \implies \huge\blue {385c {m}^{2} } \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \:

Volume ⬇️

 : \ \mapsto \sf\dfrac{22}{7}  \times   \dfrac{7}{2}  \times  \dfrac{7}{2}  \times  14 \\  : \ \mapsto \sf \: 11 \times 1 \times 7 \times 7  \:  \:  \: \\  : \  \huge\mapsto\sf  \green{539c {m}^{3} } \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

 \\  \\

Cylinder B

Surface Area⬇️

\sf : \implies \: 2 \times  \dfrac{22}{7} \times 7(7 + 7)  \\ \sf  : \implies44 \times 14 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \sf: \implies \huge\red{616 {cm}^{2} } \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

Volume⬇️

\sf :\mapsto  \dfrac{22}{7} \times 7 \times 7 \times 7 \\  \sf: \mapsto 22 \times 7 \times 1 \times 7 \\  \huge\sf :\mapsto \pink {1078c {m}^{3}}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:

Hence, Cylinder B has greater volume and larger area then Cylinder A.

\\  \\  \\

Hope it helped !! ✌️

Answered by ⬇️

@Somya2563

Similar questions