A vessel contains 16 litres of pure spirit. From this vessel 2 litres of spirit is replaced with 2 litre of water. Subsequently, 2 litres of the mixture is again replaced with 2 litres of'water and this process is repeated one more time. How much spirit is now left in the vessel?
-
Subject:
Accountancy -
Author:
pretty -
Created:
1 year ago
Answers 1
The volume of spirit left in the vessel is 10.7l.
Given:-
The volume of Pure spirit (v) = 16l
The volume of water replaced (vw) = 2l
The process is repeated = 3 times
To Find:-
The volume of spirit left in the vessel.
Solution:-
You can simply find out the volume of spirit left in the vessel by using the following procedure.
As
The volume of Pure spirit (v) = 16l
The volume of water replaced (vw) = 2l
The process is repeated = 3 times
The volume of spirit left in the vessel (vs) =?
According to the formula,
The volume of spirit left in the vessel =
[tex]vs = v( { \frac{v - vw}{v} )}^{3} [/tex]
[tex]vs = 16 \times ( { \frac{16 - 2}{16}) }^{3} [/tex]
[tex]vs = 16 \times { (\frac{14}{16}) }^{3} [/tex]
[tex]vs = 16 \times \frac{2744}{4096} [/tex]
[tex]vs = \frac{43904}{4096} [/tex]
[tex]vs = 10.7l[/tex]
Hence, The volume of spirit left in the vessel is 10.7l.
#SPJ5
-
Author:
trinidadfarmer
-
Rate an answer:
2
If you know the answer add it here!
Other related questions that may help you
-
Author:
cassis
Answer:
Step-by-step explanation:
-
Author:
inchwormffob
-
Rate an answer:
10
-
Author:
irishaynes
-
Author:
edmundobxiv
-
Rate an answer:
6
-
Author:
acevedo
-
Author:
maddoxnfp3
-
Rate an answer:
6
-
Author:
giovanny
-
Author:
zacherybf81
-
Rate an answer:
5