Show transcribed image text 1) Suppose a right circular cylinder's radius is decreasing at the rate o 2cm/sec while its height is increasing at the rate of 3cm/sec. How fast is the cylinder's volume changing when its radius is 10cm and its height is 18 cm 2) Suppose a right circular cone's radius is increasing at the rate of 5cm/se while its height is 18 cm and its height is 30 cm? g at the rate of 3cm/sec. How fast is the cone's volume changing when its radius is 3) Suppose one of a right triagle's leg is getting longer at the rate of 5m/sec while its other changing when its increasing leg is 15m and its decreasing leg is 20m? 4) Sand is poured onto a growing conical pile of sand, at the constant rate of 2m2 Isec Suppose the side of the cone makes a 60 degree angle to cone's base. How fast is the height of the sand pile increasing whe the volume of the cone is 200m? 5) A cube's edge, of length x, is growing measured in seconds and s is measured increasing when t=1 ? according to the equation 2 where t is in meters. How fast is the cube's volume 6) A 6 foot tall man walks away from a 20 foot high lamppost, at a speed of 3 miles per hour. How fast is the tip of his shadow moving along the ground whe he is 15 teet from the base of the lamppost?