Related rates-calculus

posted by .

You are eating soup from a hemispherical bowl of radius 6cm at a constant rate of 40ml/min. Find the rate at which the soup level is going down in depth of the soup is 2cm.

  • Related rates-calculus -

    The surface area of the soup times its speed down = 40 ml/min
    By the way on ml is 1 cubic centimeter so no conversion is required
    Just find surface area from pi r^2
    where r is the radius of the surface when 2 cm depth is reached.

  • Related rates-calculus -

    3.1831

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physical Science

    The soup in a bowl is too hot to eat. Although there are no ice cubes in the freezer, there are several stainless steel spoons that have been stored in the freezer for several hours. By placing the cold spoons in the hot soup, the …
  2. Math

    If a hemispherical bowl of radius 6cm contains water to a depth of h cm, the volume of the water is 1/3πh^2(18-h). Water is poured into the bowl at a rate 4 cm^3/s . Find the rate at ehich the water level is rising when the depth …
  3. Calculus

    Consider a hemispherical bowl of radius 10cm. (4 points) If the water level in the bowl is h cm deep, find the radius of the surface of the water as a function of h. (6 points) The water level drops at a rate of 0.1 cm per hour. At …
  4. Statistics Question 3

    A company sells cans of chicken soup that that are advertised to contain 20 oz. However due to variations in the manufacturing process, the volume of soup in the cans is, in fact, Normally distributed with a mean of 20.1 oz and a standard …
  5. Math Statistics

    A company sells cans of chicken soup that that are advertised to contain 20 oz. However due to variations in the manufacturing process, the volume of soup in the cans is, in fact, Normally distributed with a mean of 20.1 oz and a standard …
  6. physics

    A 0.250-kg aluminum bowl holding 0.800 kg of soup at 27.0°C is placed in a freezer. What is the final temperature if 430 kJ of energy is transferred from the bowl and soup?
  7. physics

    A 0.250-kg aluminum bowl holding 0.800 kg of soup at 25.0ºC is placed in a freezer. What is the final temperature if 377 kJ of energy is transferred from the bowl and soup, assuming the soup’s thermal properties are the same as …
  8. MAth

    Malcom has 1/2 gallon of soup. He pours the same amount of soup into 8 bowls. which equation represents the fractional part of a gallon of soup, n, in each bowl?
  9. pope john

    A hemispherical bowl of radius 6cm contains water which is flowing into it at a constant rate.When the height of the water is h cm the volume V of water in the bowl is given by V=22/7(6h^2-1/3h^3)cm^3.Find the rate at which the water …
  10. math

    Your brother is saving labels from soup cans. He removes the labels from three cans of pea soup, five cans of vegetable soup and four cans of onion soup, and does not indicate the contents of the twelve cans after removing the labels. …

More Similar Questions