10. (4 pts) Pancake batter is being poured onto a griddle at a rate of 8...
6. (4 pts) Air is being pumped into a spherical balloon so that its volume increases at a rate of 100 cm?/s. How fast is the radius of the balloon increasing when the diameter is 50 cm? The formula for the volume of a sphere is V = r.
A balloon is being inflated so that its volume is increasing at a constant rate of 200 c.c. per second. How fast is the radius increasing when the radius is 15 cm? Note that the volume is given by v=(4/3)π r^3.
Sand is being dropped at the rate of 10 cubic meter per minute onto a conical pile. If the height of the pile is always twice the base radius, at what rate is the height increasing when the pile is 8 meters high?
A child is flying a kite at a constant 120 ft altitude. If the child lets the kite string out at a constant rate of 2.5 ft/sec, how fast is the kite moving when 130 ft of string has been let out?Oil is spilling from a damaged tanker onto the large lake surface. The oil makes a circular film (1 cm thick). If the oil is flowing at a rate of 15m^3 per minute, how fast is the radius of...
6. (6 pts) An expandable sphere is being filled with liquid at a constant rate from a tap (imagine a water balloon connected to a faucet). When the radius of the sphere is 3 inches, the radius is increasing at 2 inches per minute. How fast is the liquid coming out of the tap? (Volume of a sphere = ar") Use appropriate units in your answer.
(1 point) If the radius of a sphere is increasing at a constant rate of 3 cm/sec, then the volume is increasing at a rate of cm3 /sec when the radius is 1 cm dᏙ dr dᏙ Hint: dt and the volume of a sphere is V = dr dt
11. (5 pts) If each edge of a cube is increasing at the constant rate of 3 cm/s, how fast is the volume of the cube increasing when the length x of an edge is 10 cm?
Question 6 10 pts The volume of a cube is increasing at at rate of 20 cm. How fast is the surface area increasing when the length of an edge is 50 cm? Upload Choose a File
11 - Select and Answer questions completely in the available space below each of them: 0.1 Gravel is being poured onto a pile at the rate of 180 mº/h. The pile is in the shape of an inverted cone whose diameter is always two times its height. Find the rate at which the height of th cone is increasing when the pile base diameter is 12 m. *The volume of the right circular cone of radius r and height h...
show work 4. The spherical balloon is being filled with water at a rate of 25 cm/min. At what rate if the radius 4 changing when the radius is 4 cm? (Volume of a sphere: V =