Question

a container is in the shape of a frustum of a cone having diameters of of its two circular faces as 35 and 30 cm and vertical height 14 cm is completely filled with oil . If each cm3 of oil has 1.5 g mass ,then find the cost of oil in the container if it's cost is rs.40 per kg ?

Answer 1

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Answer 2

Answer:

Total cost of the oil in the container = Rs. 698.40

Step-by-step explanation:

Inner diameter = 30 cm

So, inner radius , r = 15 cm

Outer diameter = 35 cm

So, Outer radius , R = 17.5 cm

Vertical height = 14 cm

$\text{Volume of the container = }\frac{1}{3}\pi\times (R^2+r^2+Rr)\times height\\\\\implies \text{Volume of the conatiner = }\frac{1}{3}\times\frac{22}{7}\times (17.5^2+15^2+15\times 17.5)\times 14\\\\\implies\text{Volume of the container = }(\frac{11}{3}\times 3175)\:\:cm^3$

1 cm³ = 1.5 gm

$\implies (\frac{11}{3}\times 3175)\:\:cm^3= (\frac{11}{3}\times 3175\times 1.5)\:\:gm\\\\=17462.5\:\:gm\\\\\text{1 kg = 1000 gm}\\\\\implies 17462.5\:\: gm = 17.46\:\:Kg$

Cost of oil = Rs 40 per kg

Thus, Total cost of the oil in the container = 17.46 × 40

Hence, Total cost of the oil in the container = Rs. 698.40