the bottom of a right cylindrical shaped vessel made from metallic sheets is closed by a cone shaped vessel as shown in the figure.the radius of the circular base of cylinder and radius of the circular base of cone are equal to 7cm. if the height of cylinder is 20cm and height if cone is 3cm,calculate the cost of milk to fill completely this vessel at rate of rs 20 per litre
Answers
Answer:
The cost of milk to fill completely this vessel will be Rs 64.68
Step-by-step explanation:
Given height of the cylinder = 20 cm, and radius = 7 cm
=> volume of the cylindrical part = πr²h
= 22/7 x 7 x 7 x 20
= 3080 cm³
Given height of the cone = 3 cm, and radius = 7 cm
=> volume of the conical part = πr²h/3
= 22/7 x 7 x 7 x 3/3
= 154 cm³
Hence net volume of the vessel = volume of cylinder + volume of cone
= 3080 + 154
= 3234 cm³
we know that 1000 cm³ = 1 liter
=> 3234 cm³ = 3.234 liter
Cost of 1 liter milk = Rs 20
=> Cost of 3.234 liter milk = 20 x 3.234
= Rs 64.68
Answer:
Rs 58.52
Step-by-step explanation:
the bottom of a right cylindrical shaped vessel made from metallic sheets is closed by a cone shaped vessel as shown in the figure.the radius of the circular base of cylinder and radius of the circular base of cone are equal to 7cm. if the height of cylinder is 20cm and height if cone is 3cm,calculate the cost of milk to fill completely this vessel at rate of rs 20 per litre
Volume of container = Volume of Cylinder - Volume of cone
as cone is inserted in cylinder
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