The volume V of an ice cream cone is given by V=R³ + R²h where R is the common radius of the spherical cap and the cone, and h is the height of the cone. The volume of the ice cream cone is increasing at the rate of 10 units3/sec and its radius sincreasing at the rate of units/sec when the radius R and height h are (R, h) = (2, 3). At what rate is the heighth of the cone changing when (R, h) = (2²/₁ 14 units/sec

Q: The density of Venus is similar to that of Earth. The mass of Venus is 4. and its diameter is 12,100…

A: For the given  Mass = 4.9 X 1024 kg  Diameter = 12100 km  The density of venus is

Q: A cuboid has dimensions of side length L − 1, L, and L + 1 cm (height, width, and depth). The…

A: Given: A cuboid has dimensions of side length L − 1, L, and L + 1 cm (height, width, and depth).…

Q: A radioactive bar of radius 5cm and length 2m is submerged along the central axis of a cylindrical…

A:

Q: Water is being pumped into a 10 m-diameter tank at the rate of 1 m³/min. At the same time, water…

A: Given- Water is pumped into a 10 m-diameter tank at the rate of 1 m3/min. At the same time, water…

Q: a cylindrical tank is filled with 31.4 m3 of water at t = 0. The radius of the tank is 1 m and its…

A: Given that, the volume of the cylindrical tank is 31.4 m3 Radius of the tank =1 m Height = 10 m

Q: The volume V of a right circular cylinder of height 7 m and radius r m is V = V(r) = 7ar. Find the…

A:

Q: The density of an air pollutant at height h meters above the surface of a city is given by p(h)…

A:

Q: A cylindrical tank filled with water has height h and a baseof area A. Water leaks through a hole in…

A:

Q: Oil is leaking from a broken pipe at a rate of 160 ft³ per minute. Assume the oil forms a thin…

A: Rate dVdt=160 ft3/m Height h=0.4 feet Radius r=5 feet To find: drdt

Q: A Spherical ballon is being filled with air. The radius of the Sphere {nitially is Ift & is grawing…

A: Given: A spherical balloon is being inflated with air. The radius of the sphere initially is 11 ft…