Question

The bottom of a right cylindrical shaped vessel made from a metallic sheet is closed by a cone shaped vessel. The radius of the circular base of the cylinder and radius of the cone are each 7cm. If the height of the cylinder is 20cm and height of cone is 3cm, calculate the cost of milk to fill completely this vessel at the rate of Rs.20 per litre.

Answer 1

Answer:

Total cost of milk to fill the vessel completely = Rs. 58520

Step-by-step explanation:

Radius of circular base of cylinder, r = 7 cm

Height of cylinder , h = 20 cm

Volume of cylinder = π·r²·h

⇒ Volume of cylinder = π × 49 × 20

⇒ Volume of cylinder= 980·π cm³

Radius of circular base of cone , r = 7 cm

Height of cone , h = 3 cm

$\text{Volume of cone = }\frac{1}{3}\pi\times r^2\times h\\\\\implies\text{Volume of cone = }\frac{1}{3}\pi\times 49\times 3\\\\\implies \text{Volume of cone = }142\pi\:\:cm^3$

Total volume of vessel = Volume of cylinder - Volume of cone

So, Total volume of vessel = 980·π - 142·π

⇒ Total Volume of the vessel = 838·π cm³

⇒ Total Volume of the vessel = 2926 cm³

Rate of filling milk in the vessel = Rs. 20/liter

Total cost of milk to fill the vessel completely = 2926 × 20

⇒ Total cost of milk to fill the vessel completely = Rs. 58520

Answer 2

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