Question

calculate the total surface area and lateral surface area of the given cylinder ​

Answer 1

Answer:

so the radius is given = 7 cms

and the height is given = 7 cm

the total surface area = 2pi R (r + h)

2 × 22/ 7 ×7 (7+7)

44/7 ×7 (14)

44/7 × 98

4312/7

= 616

therefore the TSA of cylinder = 616 cmsquare

Answer 2

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radius of cylinder :- 7cm

height of cylinder :- 7cm

$\bold { \underline { \underline \orange{answer}}} \orange{→}$

lateral surface area of cylinder : 308 cm²

total surface area of cylinder : 616 cm²

$\bold { \underline { \underline \orange{solution}}} \orange{→}$

we know that..

lateral surface area of cylinder :- 2πrh

so lateral surface area of this cylinder,

$\bold{A1 = 2 \times \frac{22}{7} \times 7 \times 7} \\ \\ \bold{ \implies \: A1 = 2 \times 22 \times 7} \\ \\ \bold { \implies \: A1 = 308 \: {cm}^{2} } \: \: \: \:$

so, lateral surface area of cylinder is 308 cm²

now, we know that..

total surface area of cylinder :- 2πr( h + r )

so total surface area of this cylinder,

$\bold{A2 = 2 \times \frac{22}{7} \times 7(7 + 7)} \\ \\ \bold{ \implies \: A2 = 2 \times 22 \times 14} \: \: \: \: \\ \\ \bold{ \implies \: A2 = 616 \: {cm}^{2} } \: \: \: \: \: \: \: \: \: \:$

so, total surface area of cylinder is 616 cm²

$\bold { \tt{ \underline { \underline \purple{for \: more \: information}}} \purple{→}}$

i) total surface area of cuboid = 2( lb + bh + hl ) square units

ii) Volume of cuboid = lbh cubic units

iii) total surface area of cube = 6(side)² square units

iv) volume of the cube = (side)³ cubic units

v) curved/lateral surface area of cylinder = 2πrh

vi) total surface area of cylinder = 2πr( h + r ) square units

vii) volume of cylinder = πr²h cubic units

viii) curved surface area of cone = πrl square units

ix) total surface area of cone = πr² + πrl square units

x) volume of cone = 1/3 πr²h cubic units

xi) surface area of sphere = 4πr² square units

xii) volume of sphere = 4/3 πr³ cubic units