1) A spherical balloon is being inflated at a rate of 3(pi) m^3/min. twelve minutes after the inflation first begins, what is the rate of increase of the diameter of the balloon with respect to the time.
2) A weather balloon with radius 9m springs a leak, losing air at 171(pi) m^3/min. Find the rate of decrease of the radius after 4 min.
3) An inverted conical tank has a total depth of 2 m, and radius of top 0.8m. If water runs out of the tank at a rate of 2m^3/min, how fast is the level descending at the following times?
a) when the depth of the water is 1.5 m
b) when the tank is half full (h=1)
4) Sand pouring from a conveyer belt forms a conical pile such that the height h is twice the radius r. if the sand is pouring from the belt at the rate of 8(pi) m^3/min, how fast is the height increasing 18 minutes after the pouring begins.
5) A spherical hailstone is growing at the rate of 1mm^3/min. find the rate of increase of the radius when the surface area is 4(pi) cm^2.
6) A cylindrical tank has a radius of 3m and a depth of 10m. It is being filled at the rate of 5m^3/min. how fast is the surface rising.
7) A horizontal eaves trough 3m long has a triangular cross section 10cm across the top and the 10cm deep. During a rainstorm the water in the trough is rising at a rate of 1cm/min when the depth is 5cm.
a) How fast is the volume of the water in the trough increasing?
b) After the rain stopped, the water drained out of the trough at the rate of 0.06m^3/min. how fast is the surface of the water falling when the depth is 1cm.
8) The radius of a right circular cylinder increases at the rate of 0.5 cm/min at a specific instant the radius and the altitude of the cylinder are 5cm and 20m respectively. What should the rate of change in the altitude be so that the volume remains constant?
9) The base of an isosceles triangle is 6m. The other two sides are both increasing at a rate of 4m/s. find the rate of increase of the area of the triangle when these sides are both 5m in length.
these are due tommorrow n i have no idea wut im doing! plz help
2) A weather balloon with radius 9m springs a leak, losing air at 171(pi) m^3/min. Find the rate of decrease of the radius after 4 min.
3) An inverted conical tank has a total depth of 2 m, and radius of top 0.8m. If water runs out of the tank at a rate of 2m^3/min, how fast is the level descending at the following times?
a) when the depth of the water is 1.5 m
b) when the tank is half full (h=1)
4) Sand pouring from a conveyer belt forms a conical pile such that the height h is twice the radius r. if the sand is pouring from the belt at the rate of 8(pi) m^3/min, how fast is the height increasing 18 minutes after the pouring begins.
5) A spherical hailstone is growing at the rate of 1mm^3/min. find the rate of increase of the radius when the surface area is 4(pi) cm^2.
6) A cylindrical tank has a radius of 3m and a depth of 10m. It is being filled at the rate of 5m^3/min. how fast is the surface rising.
7) A horizontal eaves trough 3m long has a triangular cross section 10cm across the top and the 10cm deep. During a rainstorm the water in the trough is rising at a rate of 1cm/min when the depth is 5cm.
a) How fast is the volume of the water in the trough increasing?
b) After the rain stopped, the water drained out of the trough at the rate of 0.06m^3/min. how fast is the surface of the water falling when the depth is 1cm.
8) The radius of a right circular cylinder increases at the rate of 0.5 cm/min at a specific instant the radius and the altitude of the cylinder are 5cm and 20m respectively. What should the rate of change in the altitude be so that the volume remains constant?
9) The base of an isosceles triangle is 6m. The other two sides are both increasing at a rate of 4m/s. find the rate of increase of the area of the triangle when these sides are both 5m in length.
these are due tommorrow n i have no idea wut im doing! plz help
someone plz help!