Hello

i have two questions about calculus. I hope you can help me to solve it. Thanks

A container formed by a cylinder at the bottom surrounded by a heisphere. The radius decreases at the rate of 3 cm/sec and trhe height increases at the rate of 2 cm/sec. Find the rate at which the volume of the contaner changes when the radius is 5 and the height is 10 cm.

I try to solve by using : 2r+ h= 8?

Let U(x,y) be a differentiable and let (r,θ)be the polar coordinates ( that is, x=rcosθ, y=rsinθ)

Compute Ur and Uθand show that lldedivative of Ull^2= (Ur)^2 +(Uθ)^21/r^2