Math, asked by anamika312005, 3 months ago

plz help me
I will mark u as brainlist if you and this q correctly​

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Answered by riyanadcunha15
36

Answer:

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Let r dm be the radius of the base and h dm be the height of the cylindrical tank.

Then, h=6r (given) \\ Total \:  surface \:  area =2πr(r+h)=2πr(r+6r)=14π {r}^{2}  \\ cost \:  of  \: painting =Rs.(14π {r}^{2} )× \frac{60}{100} =Rs \:  \frac{42}{5}  {r}^{2}  \\ It \:  is  \: given  \: that \:  the \:  cost \:  of  \: painting  \: is \:  Rs. 237.60 \\ ∴ \frac{42}{5} π {r}^{2} =237.60 \\ ⇒ \frac{42}{5} × \frac{22}{7} × {r}^{2} =237.60 \\ ⇒ {r}^{2} =237.60× \frac{5}{42} × \frac{7}{22} =9 \\ ⇒r=3dm \\ ∴h=6r=18dm \\ Hence, \:  volume \:  of  \: the \:  cylinder =π {r}^{2} h= \\ (π×3×3×18)d {m}^{3} =( \frac{22}{7} ×9×18)dm3 \\ =509.14dm3

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