Question

find curved surface area, total surface area and volume of cylinder whose radius is 7 cm and height is 12.5 CM

Answer 1

Radius = 7 cm
Height = 12.5 cm
Curved Surface Area of the cylinder
[tex]= 2 \pi rh \\ = 2 \times \frac{22}{7} \times 7 \times 12.5 \\ = 550 \: cm^{2} [/tex]
Total Surface Area
[tex]=2 \pi r^{2} + 2 \pi rh \\ =2 \times \frac{22}{7} \times 7 \times 7 + 550 \\ =308 + 550 \\ =858 \: cm^{2} [/tex]
Volume
[tex]= \pi r^{2} h \\ = \frac{22}{7} \times 7 \times 7 \times 12.5 \\ =1925 \ cm^{3} [/tex]

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Answer 2

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

$\green{\therefore{\text{Volume\:of\:cylinder=1925\:cm}^{3}}}$

$\green{\therefore{\text{C.S.A\:of\:cylinder=550\:cm}^{2}}}$

$\green{\therefore{\text{T.S.A\:of\:cylinder=858\:cm}^{2}}}$

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

$\green{ \underline \bold{Given : }} \\ : \implies \text{Radius(r) = 7 \: cm} \\ \\ : \implies \text{Height(h) = 12.5 \: cm} \\ \\ \red{ \underline \bold{To \: Find : }} \\ : \implies \text{Volume \: of \: cylinder = ? }\\ \\ : \implies \text{C.S.A \: of \: cylinder = ? }\\ \\ : \implies \text{T.S.A\: of \: cylinder = ? }$

• According to given question :

$\bold{As \: we \: know \: that } \\ : \implies \text{Volume \: of \: cylinder} = \pi {r}^{2} h \\ \\ : \implies \text{Volume \: of \: cylinder} = \frac{22}{7} \times {7}^{2} \times 12.5 \\ \\ : \implies \text{Volume \: of \: cylinder} =22 \times 7 \times 12.5 \\ \\ \green{ : \implies \text{Volume \: of \: cylinder} =1925 \: {cm}^{3} } \\ \\ \bold{As \: we \: know \: that} \\ : \implies \text{C.S.A\: of \: cylinder} =2\pi rh \\ \\ : \implies \text{C.S.A\: of \: cylinder} =2 \times \frac{ 22}{7} \times 7 \times 12.5 \\ \\ : \implies \text{C.S.A\: of \: cylinder} =2 \times 22 \times 87.5\\ \\ \green{ : \implies \text{C.S.A\: of \: cylinder} =550 \: {cm}^{2}} \\ \\ \bold{As \: we \: know \: that} \\ : \implies \text{T.S.A\: of \: cylinder} =2\pi r(h + r) \\ \\ : \implies \text{T.S.A\: of \: cylinder} =2 \times \frac{22}{7} \times 7(12.5 + 7) \\ \\ : \implies \text{T.S.A\: of \: cylinder} =2 \times 22 \times 19.5 \\ \\ \green{ : \implies \text{T.S.A\: of \: cylinder} =858 \: {cm}^{2} }$