Let h=height of water
Let r=radius of water surface
r/h=16/8 =2, so r=2h.
The volume of water is:
v=(1/3)×π×r²×h
=(1/3)×π×(2h)²×h
=4/3πh³
dv/dh=4πh^2
By chain rule:
dv/dt=dv/dh×dh/dt
but
dv/dt=4
thus:
4=(4πh)×dh/dt
dh/dt=4/(4πh²)
when h=6cm we have:
dh/dt=4/(4π6²)
=0.00884 cm³/min
Answer:
Step-by-step explanation:
Since the cost is $100 for deposit and $200 per hour, the function rule to find the total cost of renting the theatre for 'n' hours will be:
= 100 + 200(n)
= 100 + 200n
The total cost if you rented the theatre for 4 hours will be gotten by replacing n with 4. This will be:
= 100 + 200n
= 100 + 200(4)
= 100 + 800
= $900
Definitely number three my dude
Answer:
B
Step-by-step explanation:
The graph begins up and ends down. This means as x heads into negative infinity the graph continues up, up and up towards infinity. While x heads to positive infinity on the right side of the graph, the graph heads down, down, and down towards negative infinity. See graph below.
