Calculus

posted by .

A vessel is in the shape of an inverted cone. The radius of the top is 5cm and the height is 8cm. Water is poured into a height of xcm. Show that if the volume of the water is Vcm^3,then V=(25/192)*pi*x^3. (The volume of a cone is given by the formula V=(1/3)*pi*r^2*h)

  • Calculus -

    r = (5/8) x

    V = (1/3) pi [ (5/8) x ]^2 x

    V = (1/3) pi (25/64) x^3

    etc

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    Hi! Can anyone give me some tips on how i would determine the shape of a vessel from a graph of volume vs time?
  2. Calculus

    A water tank has a shape of an inverted circular cone with base radius 3 m and height of 5 m. If the water is being pumped into the tank at a rate of 2 m^3 /min, find the rate at which the water level is rising when the water is 3 …
  3. Calculus(answer needed immediatly,thanks)

    A paper cup has the shape of a cone with height 8cm and radius 3cm at the top. Water is being poured into the cup at the rate of 2cm3/s. How fast is the water level rising when the water is 6cm deep?
  4. math

    a vessel comtaining water has the shape of an inverted circular cone of base radius 5 feet and height 10 feet.the water flow from the apex of the cone at a constant rate of 3 cubic feet per minute.how fast is the water lavel rising …
  5. Calculus

    A container is in the shape of an inverted right circular cone has a radius of 2 in at the top and a height of 6 in. At the instant when the water in the conatiner is 5 in deep, the surface level is falling at the rate of -.4 in/s. …
  6. math

    Suppose we pump water into an inverted right-circular cone tank at the rate of 6 cubic feet per minute. The tank has the height 9 ft and radius on the top is 8 ft. What is the rate at which the water level is rising when the water …
  7. Calculus

    Water is being poured into an inverted cone(vertex down) of radius 4 in and height 10 in at a rate of 3 in^3/sec. Find the rate at which the height of the water is increasing when the water is 5 in high.
  8. Pure Maths

    A container is in the shape of a right circular cone (inverted) with both height and diameter 2 meters. It is being filled with water at a rate of (pi)m^3 per minute. Fine the rate of change of height h of water when the container …
  9. calculus inverted cone

    A container in the shape of an inverted cone has radius 6 ft and height 12 ft. It is being drained at 2〖ft〗^3/min. Find the rate of change of the height of the liquid in the cone when the height is 3 feet. The ratio of …
  10. math

    Water is poured into a right circular cone with a height of 10 cm and diameter of 8 cm until it is three-fourths full. All this water is then poured into an empty cylindrical container with a radius of 5 cm and height of 9 cm. What …

More Similar Questions