Question

Find the curved surface area and total surface area of cylinder the diameter of its base is 10 cm and height is 25 cm​

Answer 1

Solution

Given:-

• Diameter of cylindrical Base = 10 cm

So,

• Radius will be = 10/2 = 5 cm
• Height of cylinder = 25 cm

Find:-

• Curved Surface area
• Total surface area

Explanation

Let,

• Radius be = R
• Height = H

Using Formula

★ Curved Surface area of cylinder = 2πRH

★Total Surface area of cylinder = 2πR(R+H)

So,

==> Curved Surface area of cylinder = 2.π.RH

==> Curved Surface area of cylinder = 2 × 22/7 × 5 × 25

==> Curved Surface area of cylinder = 44 × 125/7

==> Curved Surface area of cylinder = 5,500/7

==> Curved Surface area of cylinder = 785.714 cm². [Ans]

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Now, calculate total surface area

==>Total Surface area of cylinder = 2πR(R+H)

==> Total Surface area of cylinder = 2 × 22/7 × 5 ×[ 5 + 25]

==>Total Surface area of cylinder = 44 × 150/7

==>Total Surface area of cylinder = 6,600/7

==>Total Surface area of cylinder = 942.857 cm² [ Ans.]

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Answer 2

✬ CSA = 785.71 cm²

✬ TSA = 942.85 cm² ✬

Step-by-step explanation:

Given:

• Diameter of base of cylinder is 10 cm.
• Height of cylinder is 25 cm.

To Find:

• What is the curved surface and total surface area of cylinder ?

Solution: Radius of cylinder = Diameter/2 = 10/2 = 5 cm. Now

• Radius of cylinder = r = 5 cm
• Height of cylinder = h = 25 cm.

As we know that formula for CSA of cylinder is

★ CSA of cylinder = ( 2πrh ) sq units ★

$\implies{\rm }$ ( 2 x 22/7 x 5 x 25 ) cm²

$\implies{\rm }$ ( 44 x 125/7 ) cm²

$\implies{\rm }$ 5500/7 cm²

$\implies{\rm }$ 785.71 cm²

So, The curved surface area of cylinder will be 785.71 cm².

Now,

★ TSA of cylinder =2πr ( h + r ) sq units★

$\implies{\rm }$ 2 x 22/7 x 5 ( 25 + 5 ) cm²

$\implies{\rm }$ 220/7 x 30 cm²

$\implies{\rm }$ 6600/7 cm²

$\implies{\rm }$ 942.85 cm²

Hence, The total surface area of cylinder will be 942.85 cm².

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➯ Volume of cylinder = πr²h cubic units