Answer:
sarang heyo arigatso
Step-by-step explanation:
Sorikaniya
ok wait, how do you want us to answer them
Answer:
dx/dt = 0,029 ft
Step-by-step explanation:
Let call "x " diameter of the base of the cone then h (height ) is equal to x
V = ( 1/3)* A(b) *h
A(b) = π*(x/2)²
Then
Volume of the cone is
V = ( 1/3)*π*(x/2)²*x
V = ( 1/12)*π*x³
Then:
dV/dt = ( 1/12)*π* 3*x²*dx/dt ⇒ dV/dt = ( 1/4)*π*x²*dx/dt
dV/dt = (1/4)*π*(21)²*dx/dt
As dV/dt = 10 ft³
10*4 = 441*π* dx/dt ⇒ dx/dt = 40/ 1384,74
dx/dt = 0,029 ft
Insufficient data for a meaningful answer
Answer:
Step-by-step explanation:
A triangle's hypotenuse is the side opposite of the 90 degree angle, which is x. And the other two sides are the two legs of the triangle.
The pythagorean theorem tells us:
Where c is the hypotenuse and a,b are the two legs
Plugging the information into the formula, gives us:
<u>*Note</u>: We used the property of radical to simplify