Let 3z=(2w-5)^3. If dw/dt =1/3, find dz/dt when z=9

3z = (2w - 5)³

When z = 9, we have

27 = (2w - 5)³   →   3 = 2w - 5   →   w = 4

Differentiate both sides with respect to t :

3 dz/dt = 3 (2w - 5)² dw/dt

dz/dt = (2w - 5)² dw/dt

Plug in everything you know and solve for dz/dt :

dz/dt = 3² • (1/3)

dz/dt = 3

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere