Question

A Cylindrical drum has a height of 20 cm and base radius of 14 cm. TSA and CSA of cylinder is​

Answer 1

Radius = 14cm

Height = 20cm

Curved surface area = 2πrh

= 2×22/7×14×20 cm^2

= 1760 cm^2

Total surface area = 2πr(h+r)

= 2×22/7×14(20+14) cm^2

= 88×34 cm^2

= 2992 cm^2

Answer 2

◈Question◈

☞A Cylindrical drum has a height of 20 cm and base radius of 14 cm. TSA and CSA of cylinder is....?

◈Answer◈

❋Refer to the attachment...

☞Given data as follows:

• Base radius = 14 cm
• Height = 20 cm

☞To find:

• Total surface area
• Curved surface area of cylinder

❋We know, the formula,

$\large{ \sf{ \star{ \: \: curved\: surface \: area \: of \: cylinder...}}} \\ \\\large{ \sf{ \boxed{ \green{ = 2\pi r h}}}} \\ \\ \large{ \sf{ \mapsto{where \: h = height}}} \\ \\ \large{ \sf{ \mapsto{r = radius}}}$

☞By using this formula, and putting the given values of radius and height,

try this

$\mapsto \large{ \sf{csa = 2 \times \pi \times 14 \times 20 \: {cm}^{2}}}$

$\mapsto \large{ \sf{csa = 2 \times \frac{22}{ \cancel{7}} \times \: \cancel{14} \:\times 20{cm}^{2} }}$

$\mapsto \large{ \sf{csa= 2\times 22 \times 2 \times 20{cm}^{2} }}$

$\mapsto \large{ \sf{\boxed{ \pink{csa = 1760 {cm}^{2} }}}}$

━━━━━━━━━━━━━━━━━━━━━━

❋ We know the formula of ,

$\large{ \sf{ \star{ \: total \: surface \: area \: of \: cylinder}}} \\ \\ \large{ \boxed{ \green{ \sf{ = 2\pi \: r(h + r)}}}} \\ \sf{ \underline{ \underline{note = \: same \: meaning \: of \: symbols}}}$

☞By using the formula, and putting values of h and r

$\large{ \sf{ \mapsto{ tsa = 2 \times \frac{22}{7} \times 14(20 + 14) {cm}^{2} }}} \\ \\ \large{ \sf{ \mapsto{tsa = 2 \times \frac{22}{ \cancel{7}} \times \cancel{14 } \: \: 2 \: \times 34 {cm}^{2} }}} \\ \\ \large{ \sf{ \mapsto{tsa = 2 \times 22 \times 2 \times 34 {cm}^{2} }}} \\ \\ \large{ \sf{ \mapsto{ \boxed{ \pink{tsa = 2992 {cm}^{2} }}}}}$

❋ Thus required answers,

$\boxed{\bf{tsa\: of \: cylinder\: = 2992{cm}^{2} }}$

$\boxed{ \bf{ csa\: of \: cylinder= 1760{cm}^{2} }}$