Question

If the base radius and height of a cylinder are 7/2 cm and 6 cm respectively, what is its curved surface area?​

Answer 1

A n s w e r

$\:\:$

G i v e n

$\:\:$

• Radius of the cylinder is $\sf \dfrac { 7 } { 2 }$ cm

• Height of the cylinder is 6 cm

$\:\:$

F i n d

$\:\:$

• Curved surface area of cylinder

$\:\:$

S o l u t i o n

$\:\:$

We know that ,

$\:\:$

$\underline{\bold{\texttt{Curved surface area of cylinder :}}}$

$\:\:$

➠ 2πrh ⚊⚊⚊⚊ ⓵

$\:\:$

Where ,

$\:\:$

• r = Radius

• h = Height

$\:\:$

$\underline{\bold{\texttt{Curved surface area of given cylinder :}}}$

$\:\:$

• r = $\sf \dfrac { 7 } { 2 }$

• h = 6

$\:\:$

⟮ Putting the above values in ⓵ ⟯

$\:\:$

➜ 2πrh

$\:\:$

➜ $\sf 2 \times \dfrac { 22 } { 7 } \times \dfrac { 7 } { 2 } \times 6$

$\:\:$

➜ 2 × 11 × 6

$\:\:$

➨ 132 sq. cm.

$\:\:$

• Hence the curved surface area of the cylinder is 132 sq. cm.

$\:\:$

Additional information

$\:\:$

Total surface area of cylinder

$\:\:$

• 2πr(h + r)

$\:\:$

Where ,

$\:\:$

➻ r = Radius

➻ h = Height

$\:\:$

Volume of cylinder

$\:\:$

• πr²h

$\:\:$

Where ,

$\:\:$

➻ r = Radius

➻ h = Height

$\:\:$