Question

Find the total surface area,curved surface area, volume of a cylinder whose radius is 19m and height is 29m.

Answer 1

TSA=5727.36,CSA=3460.28,volume=32872.66

Answer 2

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

$\green{\therefore{\text{Volume\:of\:cylinder=32872.66\:m}^{3}}}$

$\green{\therefore{\text{C.S.A\:of\:cylinder=3460.28\:m}^{2}}}$

$\green{\therefore{\text{T.S.A\:of\:cylinder=5727.36\:m}^{2}}}$

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

$\green{ \underline \bold{Given : }} \\ : \implies \text{Radius(r) =19 \: m} \\ \\ : \implies \text{Height(h) = 29\: m} \\ \\ \red{ \underline \bold{To \: Find : }} \\ : \implies \text{Volume \: of \: cylinder = ? }\\ \\ : \implies \text{C.S.A \: of \: cylinder = ? }\\\\ :\implies \text{T.S.A\:of\:cylinder=?}$

• According to given question :

$\bold{As \: we \: know \: that } \\ : \implies \text{Volume \: of \: cylinder} = \pi {r}^{2} h \\ \\ : \implies \text{Volume \: of \: cylinder} = \frac{22}{7} \times {19}^{2} \times 29\\ \\ : \implies \text{Volume \: of \: cylinder} =3.14\times 361\times 29\\ \\ \green{ : \implies \text{Volume \: of \: cylinder} =32872.66 \: {m}^{3} } \\ \\ \bold{As \: we \: know \: that} \\ : \implies \text{C.S.A\: of \: cylinder} =2\pi rh \\ \\ : \implies \text{C.S.A\: of \: cylinder} =2 \times \frac{ 22}{7} \times 19\times 29\\ \\ : \implies \text{C.S.A\: of \: cylinder} =2 \times 3.14 \times 551 \\ \\ \green{ : \implies \text{C.S.A\: of \: cylinder} =3460.28 \: {m}^{2}} \\ \\ \bold{As \: we \: know \: that} \\ : \implies \text{T.S.A\: of \: cylinder} =2\pi r(h+r) \\ \\ : \implies \text{C.S.A\: of \: cylinder} =2 \times \frac{ 22}{7} \times 19(29+19)\\ \\ : \implies \text{C.S.A\: of \: cylinder} =2 \times 3.14 \times 912\\ \\ \green{ : \implies \text{C.S.A\: of \: cylinder} =5727.36 \: {m}^{2}}$