Question

Find the curved surface area and total surface area of a cylinder if its radius is 7cm and the height 10cm.​

Answer 1

Question:-

Find the curved surface area and total surface area of a cylinder if its radius is 7cm and the height 10cm.

Required Answer:-

Given:-

• Radius of the cylinder = 7cm
• Height of the cylinder = 10cm

To Find:-

• Curved surface area of the cylinder.
• Total surface area of the cylinder.

Solution:-

We know that :-

$\\\underline{\boxed{\pmb{Curved \: surface \: area \: of \: a \: cylinder = 2\pi rh\:sq.units}}}$

Therefore,

Substituting the values we find:-

$\\\sf{Curved \: surface \: area } =\bold{ 2 \times \frac{22}{7} \times 7cm \times 10cm}$

$\sf{\rightarrow{Curved \: surface \: area = \bold{(2 \times \frac{22}{7} \times 7 \times 10)cm {}^{2} }}}$

$\sf{\rightarrow{Curved \: surface \: area = \bold{\red{440cm {}^{2} }}}}$

Again,

$\\\underline{\boxed{\pmb{Total\: surface \: area \: of \: a \: cylinder = 2\pi r(r + h)sq.units}}}$

Therefore,

Substituting the values :-

$\\ \sf{Total \: surface \: area = \bold{2 \times \frac{22}{7} \times 7cm(7cm + 10cm)} }$

$\sf{\rightarrow{Total \: surface \: area = \bold{(2 \times \frac{22}{7} \times 7 \times 17) {cm}^{2} } }}$

$\sf{\rightarrow{Total \: surface \: area = \bold{\red{{748cm}^{2} }}} }$

$\\\underline{\boxed{\rm{\green{Hence, \: C.S.A. \: of \: the \: cylinder \: is \: \bold{ 440 {cm}^{2} } \: and \: T.S.A \: of \: the \: cylinder \: is \: \bold{748 {cm}^{2}}}}}}$