Question

Find the volume and curved surface area of a cylinder whose height is 20 cm and radius of the base is 14cm.

Answer 1

given diameter of base=14cm
radius =14/2=7cm
h=20cm
surface area of cylinder=2πr(r+h)
2*22/7(7+20)
44*22=1188sq.cm
Volume of Cylinder=πr^2h
22/7*7^2*2
=22*7*20=3080

Answer 2

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

$\green{\therefore{\text{Volume\:of\:cylinder=12320\:cm}^{3}}}$

$\green{\therefore{\text{C.S.A\:of\:cylinder=1760\:cm}^{2}}}$

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

$\green{ \underline \bold{Given : }} \\ : \implies \text{Radius(r) = 14 \: cm} \\ \\ : \implies \text{Height(h) = 20 \: cm} \\ \\ \red{ \underline \bold{To \: Find : }} \\ : \implies \text{Volume \: of \: cylinder = ? }\\ \\ : \implies \text{C.S.A \: of \: cylinder = ? }$

• According to given question :

$\bold{As \: we \: know \: that } \\ : \implies \text{Volume \: of \: cylinder} = \pi {r}^{2} h \\ \\ : \implies \text{Volume \: of \: cylinder} = \frac{22}{7} \times {14}^{2} \times 20 \\ \\ : \implies \text{Volume \: of \: cylinder} =22 \times 28 \times 20 \\ \\ \green{ : \implies \text{Volume \: of \: cylinder} =12320 \: {cm}^{3} } \\ \\ \bold{As \: we \: know \: that} \\ : \implies \text{C.S.A\: of \: cylinder} =2\pi rh \\ \\ : \implies \text{C.S.A\: of \: cylinder} =2 \times \frac{ 22}{7} \times 14\times 20 \\ \\ : \implies \text{C.S.A\: of \: cylinder} =2 \times 22 \times 40 \\ \\ \green{ : \implies \text{C.S.A\: of \: cylinder} =1760 \: {cm}^{2}}$