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

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

d (5 x (-20)) * (100 x (0.7))

step-by-step explanation:

5÷1/100 * -.7 *-20

copy dot flip

5*100 * -.7 *-20

rearrange

5*-20   * 100 *-.7

-100   *-70

7000