Water is flowing into a conical tank at a rate of 3 ft3/min. the height of the tank is 10 feet and its diameter is 6 feet. find the rate at which the height of the water level is changing at the instant its height is 5 feet.

Dh/dt  =  1.273   ft/min

Step-by-step explanation:

Volume of cone   V =  1/3 * π *r² * h

Then

DV/dt   =  1/3*  π *r² * Dh/dt      (1)

We have to find out values of r   when  h = 5

By symmetry  in a cone (we have proportion between h and r

when  h  =  10  ft       r = 3   ft    from problem statement

Then  h   =  5   ft        r = 1.5 ft

That is from proportion       3/10  =  X/5

Then by subtitution in (1)

DV/dt    =    3    ft³/min      r  =  1,5  ft

3   =  1/3*π*(1.5)²* Dh/dt

3   =  2.355  Dh/dt

Dh/dt  =  1.273   ft/min

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation:

i dont know the answer but here's a picture of a dog