The volume of a right circular cylinder with radius r and height h is Vrh. Is the volume an increasing or decreasing function of the radius at a fixed height%E2%80%8B (assume r0 and h%E2%80%8B0)?

The rate of change of volume of the cone with respect to radius is .

Step-by-step explanation:

radius of come = r

height of cone = h

Volume of cone

As the height is constant, the rate of change of volume with respect to radius is given by the derivative of volume with respect to radius.  

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.