501 Geometry Questions

(Jacob Rumans) #1
containers can Dillon fill with two bags of grinds if each cylinder is
4 inches wide and 4 inches high?


  1. Jaap is making all of the table arrangements for Christine’s
    wedding. She has chosen a design that places an 18-inch tall
    cylindrical vase with a diameter of 6 inches into another 18-inch
    tall cylindrical vase that has an eight-inch diameter. Sea grasses and
    flowers will be put into the inner vase and the gap between the two
    vases will be filled with sand. If Christine will have 12 tables at her
    wedding, how many cubic inches of sand does Jaap need to purchase
    to complete this order? (Keep your answer in πform.)

  2. A farm in the Midwest has a grain silo that is a round cylinder with
    half of a dome on top. The height of the silo from the ground to
    the top of the dome is 22 meters. The width of the bottom of the
    silo is six meters. What is the total volume of the silo? (Keep your
    answer in πform.)

  3. Munine is trying to fit her new 24-inch tall cylindrical speakers in
    a corner shelf. Unfortunately, they do not fit upright in her shelf. If
    each speaker is 2,400πcubic inches, what is the maximum width of
    her shelf.

  4. Tory knows that the space in a local cathedral dome is 13,122π
    cubic feet. Using her knowledge of geometry, what does Tory
    calculate the height of the dome to be?


Set 84



  1. In art class, Billy adheres 32 identical half spheres to cover with
    canvas. What is their total surface area, not including the flat side
    adhered to the canvas, if the radius of one sphere is 8 centimeters?

  2. Joe carves a perfect 3.0-meter wide sphere inside a right prism. If
    the volume of the prism is 250.0 cubic meters, how much material
    did he remove? How much material remains?


501 Geometry Questions
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