Question

He total surface area of the cylinder of height 40cm and base radius 5cm is – *
1 point
450 π
540 π
20 π
200 π

Answer 1

$\LARGE{ \underline{ \purple{ \sf{Required \: answer:}}}}$

The Total surface area of a cylinder means the area of the curved part as well as the top & bottom area of the cylinder.

Formula for finding the TSA of cylinder:

$\large{ \because{ \boxed{ \rm{tsa = 2\pi r(r + h)}}}}$

GiveN:

• Radius = 5 cm
• Height = 40 cm

Plugging the given values of r and h,

⇛ TSA = 2 × π × 5(5 + 40) cm²

⇛ TSA = π × 10(45) cm²

⇛ TSA = 450 π cm²

Thus, according to options the correct answer is A (450 π) which is the TSA of the required cylinder.

Keep in mind!

• Here no unit is mentioned but it's very important to mention the unit along with numeral of any quantity.

• Whenever you are getting confused between the units for TSA, CSA or Volume, you can simply remember them in form of l / l × l / l × l × l.

Answer 2

Answer:

✡ Given :-

• The height of the cylinder is 40cm and base radius is 5cm.

✡ To Find :-

• What is the total surface area.

✡ Formula Used :-

$\boxed{\bold{\large{Total\: Surface\: Area\: =\: 2πr(r + h)}}}$

✡ Solution :-

Given :-

• Radius = 5cm
• Height = 40

▶ According to the question by using formula we get,

$\implies$ TSA = 2 × π × 5(5 + 40)

$\implies$ TSA = 10(45) × π

$\longmapsto$ TSA = 450 π cm²

$\therefore$ The total surface area of the cylinder is 450 π cm² (Option no 1)

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Step-by-step explanation:

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