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1. A spherical balloon is expanding. If the radius is increasing at the rate of 2 inches per minute, at what rate is the volume increasing when the radius is 5 inches?2. A particle moves in a circular orbit x + y' = 16. As it passes through the point (2, 2V/3 ), its y-coordinate decreases at a rate of 3 units per second. At what rate is the x- coordinate changing?3. A point metres along the straight line it + 31.: = 5. Find the rate of change of the yeeerdinate, given that the xeeerdinate is increasing at a rate of 3 units per second. 4.1fa paint is moving along y = 3)? 4x B at a rate of dx = 4 mm, nd dy, when x = 3. 5. A heap of garbage in the shape of a cube is being compacted. Given that the volume decreases at a rate of 2 cubic meters per minute, find the rate of change of an edge of the cube when the volume is exactly 27 cubic meters.E. A circle with area A = m2 is expanding 1with time. If g = 5 emzie, what is $ 1when r = B? \f3. A sphere is expanding at the rate of 3 cma'eee, the formula for volume of a sphere is V = Extra, what is $when r= 5? m'2h 9. A cone is expanding at the rate of Q emafsee, the formula for volume of a cone is: U = , let h = 2r, 1whet is % when r = 3? 10. A cylinder is being filled such that the height of its contents is increasing at a rate of 5 cm /s. What is the rate of change of the volume if r = 3 and V = Tir h