The base of a cylindrical vessel is closed by
metal sheet in the from of a cones as shown in
the figure the circular base radius of the
cone and clinder are equcal to 14 cm Each. The
height of the cylinder is 30 cm And height of
the cone is 3cm. find the cost of filling the
Vessel complety with milk at the rate of Rs. 25
Answers
Answer:
Rs 58.52
Step-by-step explanation:
The bottom of a right cylindrical shaped vessel made from metallic sheet closed by a cone shaped vessel as shown in the figure. The radius of the circular base of the cylinder and radius of the circular base of the cone are each is equal to 7 cm. If the height of the cylinder is 20 cm and height of cone is 3 cm, calculate the cost of milk to fill completely this vessel at the rate of Rs. 20 per litre.
Volume of container = Volume of Cylinder - Volume of cone
as cone is immersed in cylinder (as shown in picture)
Volume of cylinder = π r² h
r = 7 cm h = 20 cm π = 22/7
Volume of cylinder = (22/7) (7)² (20) = 3080 cm³
Volume of cone = (1/3)π r² h
r = 7 cm h = 3 cm π = 22/7
Volume of cone = (1/3)(22/7) (7)² (3) = 154 cm³
Volume of container = 3080 - 154 = 2926 cm³
1 litre = 1000 cm³
Capacity of container = 2926/1000 = 2.926 Litr
Cost Per Litre = Rs 20
Total Cost = 20 * 2.926 = Rs 58.52
cost of milk to fill completely this vessel = Rs 58.52