Question

The curved surface area of a cylinders
3168 cm ^2. Find the radius of the cylinder if the height is 42 cm.​

Answer 1

Given:

• Curved surface area of cylinder = 3168 cm².

• Height = 42cm .

To find :

• Radius of the cylinder :

Solution :

• As we know that :

•Curved surface area of the cylinder= 2πrh

Here , r is radius and h is height .

• Put the given values :

=> CSA of cylinder = 2 π rh

=> 3168 = 2 (22/7)(r)(42)

=> 3168= (44×6)r

=> r = 3168/264

=> r= 12 cm.

Hence, the radius is 12 cm .

Answer 2

Answer:

⠀⠀⊡ CSA of Cylinder = 3168 cm²

⠀⠀⊡ Height of Cylinder = 42 cm

⠀⠀⊡ Radius of Cylinder = ?

⠀

$\underline{\bigstar\:\textsf{According to the given Question :}}$

$:\implies\sf CSA\:of\:Cylinder=2 \pi rh\\\\\\:\implies\sf 3168 = 2 \times \dfrac{22}{7} \times r \times 42\\\\\\:\implies\sf 3168 = 2 \times 22 \times r \times 6\\\\\\:\implies\sf \dfrac{3168}{2 \times 22 \times 6} = r\\\\\\:\implies\underline{\boxed{\sf r = 12\:cm}}$

⠀

$\therefore\:\underline{\textsf{Hence, Radius of the cylinder is \textbf{12 cm}}}.$