Question

A cylinder is 12cm high and the circumference of its base IDs 44cm find its curved surface area and total surface area

Answer 1

Correct Question :

A Cylinder is 12 cm high and the Circumference of its Base is 44 cm. Find its Curved Surface Area and Total Surface Area .

Given :

⬤ Height of Cylinder = 12 cm

⬤ Circumference of Base of Cylinder = 44 cm

To Find :

⬤ Curved Surface Area and Total Surface Area .

Formula Used :

$\sf[\:\:{Circumference=2\pi{r}\:\:]}$

Solution :

Firstly , We need to Calculate Radius :

2πr = 44

2 × 22/7 × r = 44

44r/7 = 44/1

r = 44×7/44

r = 7 cm

Therefore , The Radius of the Cylinder is 7 cm .

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Formula Used :

$\sf[\:{Curved\:Surface\:Area\:of\:Cylinder=2\pi{r}h}\:]$

Now :

We need to Calculate C.S.A :

2πrh

2 × 22/7 × 7 × 12

2 × 22 × 12

528 cm²

Therefore , The Curved Surface Area of Cylinder is 528 cm² .

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Formula Used :

$\sf[\:{Total\:Surface\:Area=2\pi{r}(h+r)}\:]$

Now :

2πr (h + r)

2 × 22/7 × 7 (12 + 7)

44 × 19

836 cm²

Therefore , The Total Surface Area of Cylinder is 836 cm² .

Answer 2

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