Question

6. The total surface area of the right circular cylinder whose diameter is 14 cm and height 20 cm is (a) 1188 cm? (b) 1178 cm 22 (c) 2992 cm? (d) 2772 cm? 2​

Answer 1

★ Given :-

• Diameter = 14 cm
• Height = 20 cm .

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★ To Find :-

• Total Surface Area = ?

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★ Solution :-

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∓ Here, it is given that, Diameter of Cylinder is 14 cm . Height of the Cylinder is 20 cm . And, we have to find Total Surface Area .

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• Now, let's solve step by step -----

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◆ First, we will find the Radius :-

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$\pmb{ \dag \: \sf{Radius \: of \: Cylinder = \frac{Diameter}{2} }} \\ \\ \dashrightarrow \: \sf{Radius = \frac{14}{2} } \\ \\ \dashrightarrow \: \sf{Radius = 7 \: cm}$

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◆ Now, we will find the Total Surface Area :-

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$\pmb{ \dag \: \sf{T.S.A = 2 \: \pi \: r \: [ \: H + R \: ]}} \\ \\ \dashrightarrow \: \sf{T.S.A = 2 \times \frac{22}{7} \times 7 \: [ \: 20 + 7 \: ]} \\ \\ \dashrightarrow \: \sf{T.S.A = 44 \times 27} \\ \\ \dashrightarrow \: \sf{T.S.A = 1188 \: {cm}^{2} }$

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★ Hence :-

• Total Surface Area = 1188 cm² .

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