A container open at the top is in the form of a frustum of a cone of height 24cm radii of its lower and upper circular end is 8 cm and 20 CM respectively find the cost of milk which can completely fill the container at the rate of 27 rupees per litre use(Pi 22/7)
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h = 24 cm
lower end = r = 8 cm
upper end = R = 20 cm
V = (πh) / 3 x (R2 + Rr + r2)
V = (π24) / 3 x (202 + 20x8 + 82)
V = 176 / 7 x 624
V = 176 x 89.142 cm3
V = 15688.992 cm3
V = 15688.992 cm3 / 1000
V = 15.688992 litre
Cost of milk per litre fill the container = 21 Rs
∴ Total cost of milk fill the container = 15.688992 x21 = 329.4688rs