Sand is leaking through a small hole at the bottom of a conical funnel at the rate of 12cm3/s . if the radius of the funnel is 8
cm and the altitude of the funnel is 16 cm, find
a) the depth of the salt water after 30 second
b)the rate of change of its depth at that instant
1 answer:
Answer:
h ≅ 16.29 cm

Step-by-step explanation:
From the conical funnel;
Let the adjacent line at the base of the cone be radius (r) and the opposite ( vertical length) be the height (h)
Then;



∴


The volume (V) of the cone is expressed as:





Given that:

Then:




∴

c = 0
So;


t = 30

h = 16.2865
h ≅ 16.29 cm
Thus;
from 




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