algebra

Adam has a cylindrical container. He is going to pour water into the container from a cube that has a side length of 1.5 inches. The container has a diameter of 8 inches and is 2 feet tall. How many full cubes of water can Adam fit into the container?

  1. 👍
  2. 👎
  3. 👁
  1. First, find the volume of the cylinder.
    (Make sure you have like units)

    V (cyl) = π(r^2)h
    V (cyl) = π(4 in)^2(24 in)
    V (cyl) = 384 π in^3 ≈ 1206.37 in^3

    Next, find the volume of the cube.

    V (cube) = s^3
    V (cube) = (1.5 in)^3
    V (cube) = 3.375 in^3

    After, divide the volume of the cylinder by the volume of the cube. Round to the nearest whole number, since the question asked "how many FULL cubes..."

    1206.37 / 3.375 ≈ 357 cubes

    1. 👍
    2. 👎
  2. 123god here 357

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Water is added to two containers for 16 minutes. The equations below model the ounces of water, y, in each container after x minutes. At the time after the start when the containers hold the same amount of water, how much water do

  2. math

    a rectangular container with dimensions 10 inches by 15 inches by 20 inches is to be filled with water, using a cylindrical cup whose radius is 2 inches and whose height is 5 inches, what is the maximum number of full cups of

  3. Math

    The diameter and height of a cylindrical container 28cm and 10cm respectively. How many litres of liquid can the container hold when it is filled

  4. Physics

    A one-liter container completely filled with mercury has a mass of 13.6 kg and weighs 133.3 N. What is the buoyant force on the container if the container is placed in water?

  1. math

    A cylindrical container has a diameter of 12 inches and a height of 15 inches, as illustrated in the accompaying diagram. What is the volume of this container to the nearest tenth of a cubic inch?

  2. I need help quick!

    1. What are the length and width of the sheets of paper that you are using to create your containers? (All four containers should be made from the same sized sheets of paper.) 2. a) Do you think both prisms (containers A and B)

  3. Maths

    A uniform cylindrical container is half filled with water. The height of the cylinder is twice its diameter. The cylinder is gradually tilted until the water touches the brim. At this instant, the container is inclined at which

  4. Math

    Janna is using a cone-shaped cup to fill a cylindrical container. The cup has the same height and radius as the container. How many times will she have to fill the cylindrical container? A. 1/3 B. 1 C. 2 D. 3 It didn't show the

  1. math

    the base of a cylindrical juice container is a circle with diameter 20 cm. The height of the container is 80cm. What is the capacity of the juice container? show your work. b) The juice container will be filled to 90% of its

  2. science

    Study the scenario.A small container of water with a low temperature is poured into a large container of water with a higher temperature. Which choice correctly explains what happens to the thermal energy of these systems? A)The

  3. math

    Oatmeal is packed in a cylindrical container The diameter of the container is 13cm and its height is 24 cm. Determine in terms of TT (pi), the volume of the cylinder, in cubic centimeters v=TTr^2h v=TT6.5^2(24) v=1014 TT(pi) Is

  4. Physics

    It is observed that 55.50 mL of water at 20 ∘C completely fills a container to the brim. When the container and the water are heated to 60 ∘C, 0.37 g of water is lost. Density of water at 60 ∘C is 0.98324 g/mL. What is the

You can view more similar questions or ask a new question.