Question

a cylindrical tank has a capacity of 6160cu.mfind its depth if its radius is 14cm calculate the cost of painting its curved surface at the rate of rs.3/m2

Answer 1

$\sf{Heya\: mate.\: Solution \: below.}$
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★ $\bold{\sf{Volume\: and \:Surface\: area}}$ ★

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$<font color = "red"><u>Answer -</u></font color>$

• Given radius of the cylindrical tank = 14 m

• Given capacity, i.e. Volume = 6160 m³



p
• But, volume of a cylinder = πr²h

$= > > > \pi {r}^{2} h = 6160$

$= > h = \frac{6160}{\pi {r}^{2} }$

$= > h = \frac{ 6160 \times 7 }{22 \times 14 \times 14}$

$= > h = \frac{43120}{4312}$

$= > h = 10$


•°• Height of the tank is 10 m.




• Then, it's Curved surface area (C.S.A),

$= 2 \: \pi \: r \: h$

$= 2 \times \frac{22}{7} \times 14 \times 10$

$= 2 \times 22 \times 2 \times 10$

$= 880$

= 880 m².




• So, cost of painting the C.S.A,

$= area \: \times \: rate$

$= 880 \times 3$

$= 2640$

= 2640 Rs.




•°• The cost of painting the C.S.A is 2640 Rs.
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Thank you... (^_-)