The radius of the base of a cylindrical tank is 25cm, if the water level rises 10cm/s .Calculate the change in volume of water in the tank after 35seconds. Can you help me with this question?

The change in volume of water in the tank after 35 second is approximately 687223.393 cubic centimeters.

Step-by-step explanation:

Geometrically speaking, the volume of the cylindrical tank (), measured in cubic centimeters, is determined by the following formula:

(1)

Where:

- Radius, measured in centimeters.

- Height, measured in centimeters.

By Differential Calculus, we obtain a formula of the rate of change of the volume of the cylinder (), measured in cubic centimeters per seconds:

(2)

Where is the rate of change of the water level, measured in centimeters per second.

Given that the rate of change of the water level is constant, then the rate of change of the volume of the cylinder is also constant. Hence, the change in the volume of the cylinder (), measured in cubic centimeters, is:

(3)

If we know that , and , then the change in the volume of water in the tank is:

The change in volume of water in the tank after 35 second is approximately 687223.393 cubic centimeters.

tickets for the harlem globetrotters

show at michigan state university in

2010 cost $16, $23, or, for vip seats, $40.

total revenue = 16x + 23y + 40z

if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, sales of all three kinds of tickets would

total $46,575.

16x + 23y + 40z = 46575, how many of each kind of ticket would

have been sold?

solve for x, y and z

x − 9z = 0

x − y − z = 55

16x + 23y + 40z = 46575

x = 1170

y = 985

z = 130

welcome!

a is the right answer