Question

find the curved surface area and total surface area of a right circular cylinder whose height is 15 cm and the radius of base is 7 cm

Answer 1

Given that,
Diameter of cylinder = 14cm
Radius of cylinder = 7cm
Height of cylinder = 15cm
So, Total surface area of cylinder = 2 x 22/7 x r ( r + h)
= 2 x 22/7 x 7 x ( 7 + 15 )
= 968 cm ^2

Curved surface area of cylinder = 2 x 22/7 x r x h
= 2 x 22/7 x 7 x 15
= 660 cm^2

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Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\therefore{\text{C.S.A\:of\:cylinder=660\:cm}^{2}}}$

$\green{\therefore{\text{T.S.A\:of\:cylinder=968\:cm}^{2}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{ \underline \bold{Given : }} \\ : \implies \text{Radius(r) = 7 \: cm} \\ \\ : \implies \text{Height(h) = 15 \: cm} \\ \\ \red{ \underline \bold{To \: Find : }} \\ : \implies \text{C.S.A \: of \: cylinder = ? }\\ \\ : \implies \text{T.S.A\: of \: cylinder = ? }$

• According to given question :

$\bold{As \: we \: know \: that} \\ : \implies \text{C.S.A\: of \: cylinder} =2\pi rh \\ \\ : \implies \text{C.S.A\: of \: cylinder} =2 \times \frac{ 22}{7} \times 7 \times 15 \\ \\ : \implies \text{C.S.A\: of \: cylinder} =2 \times 22 \times 15 \\ \\ \green{ : \implies \text{C.S.A\: of \: cylinder} =660 \: {cm}^{2}} \\ \\ \bold{As \: we \: know \: that} \\ : \implies \text{T.S.A\: of \: cylinder} =2\pi r(h + r) \\ \\ : \implies \text{T.S.A\: of \: cylinder} =2 \times \frac{22}{7} \times 7(15 + 7) \\ \\ : \implies \text{T.S.A\: of \: cylinder} =2 \times 22 \times 22 \\ \\ \green{ : \implies \text{T.S.A\: of \: cylinder} =968 \: {cm}^{2} }$