Question

38. A milk tank is in the shape of cylinder with hemisphere of same
radii attached to both ends of it as shown in figure. If the total
height of the tank is 6m and the radius is 1m. Calculate the
maximum quantity of milk filled in the tank in litres. And also
calculate the total surface area of the tank.
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Need all answer
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Answer 1

Step-by-step explanation:

radius of the tank= 1 metre

height of cylinder h= 6-2=4m

maximum quantity of milk that can be filled in the tank = volume of the tank

=

$\pi \: r {}^{2} (h + \frac{4}{3} r) \\ = \frac{22}{7} (4 + \frac{4}{3} \times 1) \\ = \frac{22 \times 16}{7 \times 3 } \\ = \frac{352}{21} \\ = 16.76m {}^{3} \\ = 16760l$

TSA of tank = CSA of cylinder +2*area of hemisphere

$=2 \pi \: rh + 2 \times 2\pi \: r {}^{2} \\ = 2\pi \: r(h \: + 2r ) \\ = 2 \times \frac{22}{7} \times 1(4 + 2) \\ = 2 \times 3.14 \times 6 \\ = 12 \times 3.14 \\ = 37.68 \: m {}^{2}$