39.
The bottom of a right cylindrical
ttom of a right cylindrical shaped vessel made from metallic sheet
is 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:
39.
The bottom of a right cylindrical
ttom of a right cylindrical shaped vessel made from metallic sheet
is 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
