The volume of the cone is
one-third of the volume of the cylinder which is equal to the product of area
of the base and the height. The equation is,
<span> V = (1/3)(pi)(r^2)h </span>
Dividing both sides of the
equation by (1/3)(pi)(h) will give us,
<span> 3V/(pi)(h) = r^2</span>
Taking the square-root of
both sides,
<span> r = sqrt(3V/(pi)(h))</span>
Answer:
z = 189/44
Step-by-step explanation:
The "varies jointly" relationship can be expressed by ...
y = kxz
We can find k from the given values.
40 = k(10)(9)
40/90 = k = 4/9 . . . divide by the coefficient of k
Now we want to find z for given values of x and y. That can be found from ...
y = (4/9)xz
9y/(4x) = z . . . . . multiply by 9/(4x)
Filling in the new numbers, we have ...
z = 9·105/(4·55)
z = 4 13/44 = 189/44 ≈ 4.2954...(repeating 54)
