Question

find the volume curved surface area and total surface area of the cylinder whose height and radius of the base are 28 cm and 3 cm respectively​

Answer 1

Answer:

• volume of cylinder=pie r2 h

1. 22/7×8×28
2. 22×8×4
3. =684cm

Answer 2

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

$\green{\therefore{\text{Volume\:of\:cylinder=792\:cm}^{3}}}$

$\green{\therefore{\text{C.S.A\:of\:cylinder=528\:cm}^{2}}}$

$\green{\therefore{\text{T.S.A\:of\:cylinder=584.57\:cm}^{2}}}$

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

$\green{ \underline \bold{Given : }} \\ : \implies \text{Radius(r) = 3 \: cm} \\ \\ : \implies \text{Height(h) = 28\: cm} \\ \\ \red{ \underline \bold{To \: Find : }} \\ : \implies \text{Volume \: of \: cylinder = ? }\\ \\ : \implies \text{C.S.A \: of \: cylinder = ? }\\ \\ : \implies \text{T.S.A\: of \: cylinder = ? }$

• According to given question :

$\bold{As \: we \: know \: that } \\ : \implies \text{Volume \: of \: cylinder} = \pi {r}^{2} h \\ \\ : \implies \text{Volume \: of \: cylinder} = \frac{22}{7} \times {3}^{2} \times 28 \\ \\ : \implies \text{Volume \: of \: cylinder} =22 \times 9\times 4 \\ \\ \green{ : \implies \text{Volume \: of \: cylinder} =792 \: {cm}^{3} } \\ \\ \bold{As \: we \: know \: that} \\ : \implies \text{C.S.A\: of \: cylinder} =2\pi rh \\ \\ : \implies \text{C.S.A\: of \: cylinder} =2 \times \frac{ 22}{7} \times 3 \times 28 \\ \\ : \implies \text{C.S.A\: of \: cylinder} =2 \times 22 \times 12\\ \\ \green{ : \implies \text{C.S.A\: of \: cylinder} =528 \: {cm}^{2}} \\ \\ \bold{As \: we \: know \: that} \\ : \implies \text{T.S.A\: of \: cylinder} =2\pi r(h + r) \\ \\ : \implies \text{T.S.A\: of \: cylinder} =2 \times \frac{22}{7} \times 3(28 + 3) \\ \\ : \implies \text{T.S.A\: of \: cylinder} =2 \times \frac{22}{7} \times 93 \\ \\ \green{ : \implies \text{T.S.A\: of \: cylinder} =584.57 \: {cm}^{2} }$