geometry

posted by .

A ball of diameter 20 cm fits exactly inside a cylindrical container.
The maximum volume of liquid which can be poured into the cylindrical container when empty is ________ cm3.

[π=3.14]

  • geometry -

    you know the cylinder also has a diameter of 20 cm.

    It also has a height of 20 cm, so the sphere just fits.

    v = pi r^2 h = pi (2/2)^2 (20) = 2000pi

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    A cylindrical jar with height 8 inches and diameter 6 inches is filled to 75% capacity with juice. The juice is then poured into another cylindrical container with a 10 inch diameter and height of 4 inches. a. to what percent of its …
  2. math

    container A has twice the capicity of container B. container A is full of sand and container B is empty. suppose 1/8 of the sand in container A is poured into container B. what fractional part of container B will conatin sand.........please …
  3. math

    container A has twice the capicity of container B. container A is full of sand and container B is empty. suppose 1/8 of the sand in container A is poured into container B. what fractional part of container B will conatin sand.........please …
  4. Geometry

    A cone and cylinder both have a radius of 3 inches and a height of 6 inches. If the cone-shaped container is filled with water and this water is then poured into the empty cylindrical container, what will be the depth, in inches, of …
  5. physics

    Three liquids that will not mix are poured into a cylindrical container. The volumes and densities of the liquids are 0.35 L, 2.6 g/cm3; 0.25 L, 1.0 g/cm3; and 0.40 L, 0.60 g/cm3. What is the force on the bottom of the container due …
  6. Chemistry

    A container is fabricated from steel having a thickness of 0.500 inch and an average density of 7.85 g/cm3. (You may assume that the container is cylindrical with hemispherical ends.) What is the mass of the filled container, assuming …
  7. math

    A liquid spray of mass 384 g is packed in a cylindrical container of internal radius 3.2cm. Given that the density of the liquid is 0.6g/cm3, calculate to 2 decimal places the height of liquid in the container.
  8. 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 …
  9. Physics

    The height of a cylindrical container is 15 cm and the inside diameter of the container is 10 cm. a) what is the volume?
  10. Geometry

    You are designing a new container for powdered laundry detergent. You are considering a cylindrical container with a diameter of 14 inches and a height of 18 inches. Find the volume of this container to the nearest cubic unit. Use …

More Similar Questions