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.
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
Answer:
Step-by-step explanation:
Since the bottom of the container is conical in shape, the overall volume of the container is given by
= Volume of Cylinder – Volume of Cone
Volume of Cylinder = pi*R*R*H
=3.141*7*7*20
=3078.18 cm^3
Volume of cone = (1/3)*pi*r*r*h
=(1/3)*3.141*7*7*3
=153.909 cm^3
Therefore, the volume of container = 3078.18-153.909 = 2924.271 cm^3
Since 1000 cm^3= 1 ltr
Volume of container = 2.924 ltr
Cost of milk per litre = Rs.20
Thus the total cost = 2.924*20
= Rs 58.48