Answer: the rate of the water level in the cone falling when it is 5cm from the bottom of the cone is -0.1768 cm/sec
Step-by-step explanation:
Given the data in the question;
H/h = R/r
10/5 = 6/r
r 1 = 30/10 = 3
Also
10/h = 6/r
r2 = 6h/10 = 3/5 × h
Volume = 1/3πr²h
V = 1/3 × π × (3/5 × h)² × h
V = 1/3 × π × 9/25 × h³
V = 3π/25 × h³
Now
dv/dt = 3π/25 × 3 × h² × dh/dt
-5 = 3π/25 × 3 × 25 × dh/dt
-5 = 3π × 3 × dh/dt
-5 = 9π × dh/dt
dh/dt = -5/9π
dh/dt = -0.1768 cm/sec
therefore, the rate of the water level in the cone falling when it is 5cm from the bottom of the cone is -0.1768 cm/sec
Answer:
1/4
Step-by-step explanation:
(2-1)/(9-5)
1/4
Pretend you have a recipe for pasta. It says you need 2 cups of water. But your measuring cup measures ounces. You need to convert 2 cups into ounces.
Answer:
here!
Step-by-step explanation:
6x +4 < 3x +12
D) x < 8/3
5x - 9 < 7x +9
C) x > -9
3x + 2x + 9< 5x +12
B) no solutions
2 (4x-4) > 8(x+2)
A) infinite solutions
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I believe that the answer is c because of the 30-60-90 rules