Find the total surface area of a solid cylinder whose radius of the base and the height are
14 cm and 10 cm respectively
Answers
Answered by
136
Given
Radius of Cyclinder is 14 cm ,
and height is 10 cm
To Find
Total surface area of cylinder
=>Total surface area means the total area occupied by Cyclinder including its surface from bottom(base) to the top of the cylinder.
Total surface area or Surface area of Cylinder =2πr(h+r)
=>2×22/7×14(10+14)
=>44/7×14(24)
=>88×24=2112cm²
Total surface area is 2112cm²
Extra information=>
Curved Surface Area = 2πrh
=>2×22/7×14×10
=>44×20=880cm²
Volume of cylinder =πr²h
=>22/7×(14)²×10
=>22/7×196×10
=>22×28×10
=>22×280
=6160cm³
Answered by
1
Step-by-step explanation:
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Find the total surface area of a solid cylinder whose radius of the base and the height are 14 cm and 10 cm respectively.
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∴⇛![{\boxed{\boxed{2\pi \: r(r + h) }}} {\boxed{\boxed{2\pi \: r(r + h) }}}](https://tex.z-dn.net/?f=%7B%5Cboxed%7B%5Cboxed%7B2%5Cpi+%5C%3A+r%28r+%2B+h%29+%7D%7D%7D+)
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⇛![\sf\red{2 \times \frac{22}{7 } \times 14(14 + 28) {cm}^{2} } \sf\red{2 \times \frac{22}{7 } \times 14(14 + 28) {cm}^{2} }](https://tex.z-dn.net/?f=%5Csf%5Cred%7B2+%5Ctimes++%5Cfrac%7B22%7D%7B7+%7D++%5Ctimes+14%2814+%2B+28%29+%7Bcm%7D%5E%7B2%7D++%7D)
⇛![\sf\red{ 2 \times 22 \times 2 \times 4.2 {cm}^{2} } \sf\red{ 2 \times 22 \times 2 \times 4.2 {cm}^{2} }](https://tex.z-dn.net/?f=%5Csf%5Cred%7B+2+%5Ctimes+22+%5Ctimes+2+%5Ctimes+4.2+%7Bcm%7D%5E%7B2%7D+%7D)
⇛![\sf\blue{3,696sq.cm } \sf\blue{3,696sq.cm }](https://tex.z-dn.net/?f=%5Csf%5Cblue%7B3%2C696sq.cm+%7D)
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