find volume CSA and TSA of cylinder whose diameter is 21 cm height 18 cm
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Answered by
5
Hey Friends,
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Diameter =21 ,Radius =21/2
Height =18cm
TSA![\: = 2\pi r(r + h) \: = 2\pi r(r + h)](https://tex.z-dn.net/?f=+%5C%3A+%3D+2%5Cpi+r%28r+%2B+h%29)
![\: \: \: \:= 2 \times \frac{22}{7} \times \frac{21}{2} ( \frac{21}{2} + 18) \: \: \: \:= 2 \times \frac{22}{7} \times \frac{21}{2} ( \frac{21}{2} + 18)](https://tex.z-dn.net/?f=+%5C%3A+%5C%3A+%5C%3A+%5C%3A%3D+2+%5Ctimes+%5Cfrac%7B22%7D%7B7%7D+%5Ctimes+%5Cfrac%7B21%7D%7B2%7D+%28+%5Cfrac%7B21%7D%7B2%7D+%2B+18%29)
=66(57/2)
=1881 cm^2
CSA = 2pi rh
=2×22/7×21/2
=66 cm^2
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Diameter =21 ,Radius =21/2
Height =18cm
TSA
=66(57/2)
=1881 cm^2
CSA = 2pi rh
=2×22/7×21/2
=66 cm^2
___________________________________
Mark me as brainliest if it's help you!!!!
Answered by
3
Solution ●●●●
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Given,
Diameter = 21 cm
![Radius = \frac{Diameter}{2} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{21}{2} = 10.5 \: cm Radius = \frac{Diameter}{2} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{21}{2} = 10.5 \: cm](https://tex.z-dn.net/?f=Radius+%3D+%5Cfrac%7BDiameter%7D%7B2%7D+%5C%5C+%5C%5C+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%5C%3A+%3D+%5Cfrac%7B21%7D%7B2%7D+%3D+10.5+%5C%3A+cm)
Height = 18 cm
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![Volume \: \: of \: \: the \: \: cylinder Volume \: \: of \: \: the \: \: cylinder](https://tex.z-dn.net/?f=Volume+%5C%3A+%5C%3A+of+%5C%3A+%5C%3A+the+%5C%3A+%5C%3A+cylinder)
![= \pi {r}^{2} h \\ \\ = (\frac{22}{7} \times 10.5 \times 10.5 \times 18) \: \: {cm}^{3} \\ \\ = 6237 \: \: {cm}^{3} = \pi {r}^{2} h \\ \\ = (\frac{22}{7} \times 10.5 \times 10.5 \times 18) \: \: {cm}^{3} \\ \\ = 6237 \: \: {cm}^{3}](https://tex.z-dn.net/?f=+%3D+%5Cpi+%7Br%7D%5E%7B2%7D+h+%5C%5C+%5C%5C+%3D+%28%5Cfrac%7B22%7D%7B7%7D+%5Ctimes+10.5+%5Ctimes+10.5+%5Ctimes+18%29+%5C%3A+%5C%3A+%7Bcm%7D%5E%7B3%7D+%5C%5C+%5C%5C+%3D+6237+%5C%3A+%5C%3A+%7Bcm%7D%5E%7B3%7D+)
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![CSA \: \: of \: \: the \: \: cylinder CSA \: \: of \: \: the \: \: cylinder](https://tex.z-dn.net/?f=CSA+%5C%3A+%5C%3A+of+%5C%3A+%5C%3A+the+%5C%3A+%5C%3A+cylinder)
![= 2\pi \: rh \\ \\ =( 2 \times \frac{22}{7} \times 10.5 \times 18) \: \: {cm}^{2} \\ \\ = 1188 \: \: {cm}^{2} = 2\pi \: rh \\ \\ =( 2 \times \frac{22}{7} \times 10.5 \times 18) \: \: {cm}^{2} \\ \\ = 1188 \: \: {cm}^{2}](https://tex.z-dn.net/?f=+%3D+2%5Cpi+%5C%3A+rh+%5C%5C+%5C%5C+%3D%28+2+%5Ctimes+%5Cfrac%7B22%7D%7B7%7D+%5Ctimes+10.5+%5Ctimes+18%29+%5C%3A+%5C%3A+%7Bcm%7D%5E%7B2%7D+%5C%5C+%5C%5C+%3D+1188+%5C%3A+%5C%3A+%7Bcm%7D%5E%7B2%7D+)
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![TSA \: \: of \: \: the \: \: cylinder TSA \: \: of \: \: the \: \: cylinder](https://tex.z-dn.net/?f=TSA+%5C%3A+%5C%3A+of+%5C%3A+%5C%3A+the+%5C%3A+%5C%3A+cylinder)
![= 2\pi \: r(h + r) \\ \\ = 2 \times \frac{22}{7} \times 10.5 \: (18 + 10.5) \: \: {cm}^{2} \\ \\ = (66 \times 28.5) \: \: {cm}^{2} \\ \\ = 1881 \: \: {cm}^{2} = 2\pi \: r(h + r) \\ \\ = 2 \times \frac{22}{7} \times 10.5 \: (18 + 10.5) \: \: {cm}^{2} \\ \\ = (66 \times 28.5) \: \: {cm}^{2} \\ \\ = 1881 \: \: {cm}^{2}](https://tex.z-dn.net/?f=+%3D+2%5Cpi+%5C%3A+r%28h+%2B+r%29+%5C%5C+%5C%5C+%3D+2+%5Ctimes+%5Cfrac%7B22%7D%7B7%7D+%5Ctimes+10.5+%5C%3A+%2818+%2B+10.5%29+%5C%3A+%5C%3A+%7Bcm%7D%5E%7B2%7D+%5C%5C+%5C%5C+%3D+%2866+%5Ctimes+28.5%29+%5C%3A+%5C%3A+%7Bcm%7D%5E%7B2%7D+%5C%5C+%5C%5C+%3D+1881+%5C%3A+%5C%3A+%7Bcm%7D%5E%7B2%7D+)
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I hope it will help you
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Given,
Diameter = 21 cm
Height = 18 cm
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I hope it will help you
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