An open container made up of metal sheet is in the form of a frustum of a cone of height 7 cm with radii of lower and upper circular ends are 4 cm and 10tm respectively. Find the cost of oil which can completely fill the container at the rate of 100 per litre.
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h = 7cm
short radius is 4cm
upper radius is 10cm
Formula of the volume of a frustum, v= 1/3*pi*h*(R^2 + r^2 + R*r)
v= 1/3*22/7*7*(10^2 + 4^2 + 10*4)
v= 22/3(100 + 16 + 40)
v= 22/3*156
v = 1144 cm^3
1144/1000 = 1.144
price of 1lt oil = 100
1.144 × 100 = 1144 Rs
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