Question

find the height of a cylinder whose radius is 7 cm and the total surface area is 968 cm²​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:-

$\purple{\bigstar}$ Height of cylinder $\large\leadsto\boxed{\tt\red{15 \: cm}}$

• Given:-

• Radius of cylinder = 7cm

• Total Surface Area = 968 cm²

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• To Find:-

• Height of the cylinder

• Solution:-

We know, Total Surface Area of cylinder:-

$\pink{\bigstar}$ $\large\underline{\boxed{\bf\green{T.S.A = 2 \pi r(r+h)}}}$

Hence,

➪ $\sf 968 = 2 \times \dfrac{22}{7} \times 7(7+h)$

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➪ $\sf 968 = 2 \times 22 \times 1(7+h)$

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➪ $\sf 968 = 44 \times (7 + h)$

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➪ $\sf 968 = 308 + 44h$

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➪ $\sf 44h = 968 - 308$

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➪ $\sf 44h = 660$

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➪ $\sf h = \dfrac{660}{44}$

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★ $\large{\bf\pink{15 \: cm}}$

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Therefore, the height of the cylinder is 15 cm