G
Guest
Guest
A right circular cylinder has a diameter of 12 in. and a height of 12 in. If water is flowing in at the rate of 4pi in^3 per minute, find the rate of change of the height when the height is 4 in
- Joined
- Feb 4, 2004
- Messages
- 16,582
Write down the volume formula for a right circular cylinder.
Differentiate with respect to time t. Note that the radius of the column of water never changes (as long as you're inside the cylinder), so dr/dt = 0.
You are given that dV/dt = 4(pi). Plug this value into the differentiated formula, along with the values for r and dr/dt. Solve for dh/dt.
Eliz.
Differentiate with respect to time t. Note that the radius of the column of water never changes (as long as you're inside the cylinder), so dr/dt = 0.
You are given that dV/dt = 4(pi). Plug this value into the differentiated formula, along with the values for r and dr/dt. Solve for dh/dt.
Eliz.