Question

The base radius and height of a right circular cylinder are 5 cm and 10 cm respectively. It's curved surface area is 

1) 100π cm²

2) 100 cm²

3) 110 cm²

4) 110π cm²

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Answer 1

Given :

• Radius of Cylinder is 5 cm .
• Height of Cylinder is 10 cm .

To Find :

• Curved Surface Area of Cylinder .

Solution :

$\longmapsto\tt{Radius\:(r)=5\:cm}$

$\longmapsto\tt{Height\:(h)=10\:cm}$

Using Formula :

$\longmapsto\tt\boxed{C.S.A\:of\:Cylinder=2\pi{rh}}$

Putting Values :

$\longmapsto\tt{2\times{\pi}\times{5}\times{10}}$

$\longmapsto\tt{2\times{\pi\times{50}}}$

$\longmapsto\tt\bf{100\:\pi\:{cm}^{2}}$

So , The Curved Surface Area of Cylinder is 100 π cm² .

Option 1) 100π cm² is Correct .

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• C.S.A of Cylinder = 2πrh
• T.S.A of Cylinder = 2πr(r+h)
• Volume of Cylinder = πr²h
• C.S.A of Cone = πrl
• T.S.A of Cone = 2π(r+l)
• Volume of Cone = ⅓ πr²h

___________________

Answer 2

Answer:

Given :-

• The base radius and height of a right circular cylinder are 5 cm and 10 cm respectively.

To Find :-

• What is the curved surface area of a cylinder.

Formula Used :-

$\sf\boxed{\bold{\large{C.S.A\: of\: Cylinder\: =\: 2{\pi}rh}}}$

where,

• C.S.A = Curved Surface Area
• r = Radius
• h = Height

Solution :-

Given :

• Radius = 5 cm
• Height = 10 cm

According to the question by using the formula we get,

⇒ $\sf C.S.A\: of\: cylinder\: =\: 2 \times {\pi} \times 5 \times 10$

⇒ $\sf C.S.A\: of\: cylinder\: =\: 2 \times {\pi} \times 50$

⇒ $\sf C.S.A\: of\: cylinder\: =\: 2 \times 50 \times {\pi}$

➠ $\sf\bold{\red{C.S.A\: of\: cylinder\: =\: 100{\pi}\: c{m}^{2}}}$

$\therefore$ The curved surface area of a cylinder is 100π cm² . Hence, the correct options is option no 1) 100π cm².