Question

A cylindrical tank has a capacity of 6160 metre cube find its depth if its radius is 14m also find the cost of painting its curved surface at RS 30 per metre square

Answer 1

$<b>Heya mate. (^_-). Solution below.$
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• Given radius of cylindrical tank = 14 m


• Given capacity of a cylindrical tank = 6160 m³

We know that capacity = volume

• So, given volume of the cylindrical tank = 6160 m³



• But, volume of any cylinder = πr²h, where π (pi) = 22/7, r is the radius of the cylinder and h is the height/depth of the cylinder.

=> πr²h = 6160

=> 22/7 × (14)² × h = 6160

=> 22/7 × 196 × h = 6160

=> 22 × 28 × h = 6160

=> 616 × h = 6160

=> h = 6160/616

=> h = 10 m

• So, depth of the cylindrical tank = 10 m



• Now, Curved surface area (C.S.A) of the tank

= 2πrh

= 2 × 22/7 × 14 × 10

= 2 × 22 × 2 × 10

= 880 m²



• Now, cost of painting 1 m² = 30 Rs.

• So, cost of painting 880 m²

= 880 × 30

= 26400 Rs.


• Therefore, cost of painting the C.S.A of the cylindrical tank = 26,400 Rs.


$<marquee>Hence, the answers are : depth = 10 m, cost = 26,400 Rs.</marquee>$
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Thank you.. ;-)

Answer 2

radius=14m

capacity of cylinder tank=6160m

capacity =volume

volume of any cylinder=πr2h=6160

=22/7×14×14×h=6160

=22/7×194×h =6160

=22×28×h=6160

=616×h=6160

=6160÷616

h=10m

curved surface area of the tank =2πrh

=2×22/7×14×10

=2×22×2×10

=880m

Now cost of painting 1m=30Rs

So cost of painting 800m=30Rs

=880×30

=26400Rs

therefore, cost of painting the curved surface area of the cylinder tank=26400Rs