Question

Can anyone solve this please


Explanation answer please ​

Answer 1

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 ⬇️

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

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⬇️

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

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

Hope it helped !! ✌️

Answered by ⬇️

@Somya2563