Question

the volume of a cylinder is 38016cm³and it's height is 21 cm. what is it's curved surface area
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Answer 1

Answer:

the volume of a cylinder is 38016cm³and it's height is 21 cm. what is it's curved surface area

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Answer 2

Answer :

• 3168 cm²

Given :

• Volume of a cylinder = 38016cm³
• Height = 21 cm

To find :

• it's curved surface area

Solution :

⇒ Let's find the radius of the cylinder first.

→ Volume of Cylinder = πr²h

→ 38016 = 22/7 × r² × 21

→ 38016 = 22/7 × 21 × r²

→ 38016 = 22 × 21/7 × r²

→ 38016 = 462/7 × r²

→ 38016 = 462/7 × r²

→ 38016 = 66 × r²

→ r² = 38016/66

→ r² = 576

→r = √576

→ r = 24

• Therefore, the radius of cylinder is 24 cm.

⇒ Now, let's find the curved surface area.

Curved Surface Area = 2πrh

= 2 × 22/7 × 24 × 21

= 2 × 22/7 × 504

= 22/7 × 1008

= 22 × 1008/7

= 22176/7

= 3168 cm²

• Therefore, the curved surface area of the cylinder is 3168 cm².