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Unit 11: Volume Review WS

  1. An ice-cream cone has a volume of 112 cubic centimeters and a height of 12 cm. Find the diameter of the cone to the nearest tenth if it is completely filled up to its height.
  1. Find the circumference of the circle shown. Round to the nearest tenth.
a. / 33.929 mm / b. / 91.6 mm2
c. / 33.9 mm / d. / 17mm
  1. Determine the circumference of a helicopter pad with a diameter of 15 yards.
  1. A rectangular pyramid has a volume of 90 cubic centimeters. Find two possible sets of measurements for the base area and height of the pyramid.

a. / base area equals 27 cm and height equals 10 cm; base area equals 30 cm and height equals 9 cm
b. / base area equals 24 cm2 and height equals 10 cm; base area equals 30 cm2 and height equals 8 cm
c. / base area equals 18 cm2 and height equals 10 cm; base area equals 15 cm2 and height equals 12 cm
d. / base area equals 15 cm2 and height equals 6 cm; base area equals 9 cm2 and height equals 10 cm
  1. Find the volume of the square pyramid. Round to the nearest tenth if necessary.
  1. A large concrete block is used for the cornerstone of a building. The block is 20 ft deep, 12 ftwide, and 12 ft long. What volume of concrete is needed to make this block?
  1. Determine the volume of the rectangular pyramid. Round to the nearest tenths place.
  1. Determine the volume of a hemisphere with a radius of 20 m. Round to the nearest tenths place.
  1. Find the volume of the sphere. Round to the nearest tenths place.

  1. Find the volume of the cylinder. Round to the nearest tenths place.
  1. Find the volume of a cone with the following measures:

diameter = 8 mm, height = 4 mm

  1. A paperweight is in the shape of the figure shown. Suppose you wanted to fill the paperweight with sand. What is the volume of the sand that will fit in the paper weight? Round to the nearest tenth.

a. / 2,009 in / b. / 1,178.1 in
c. / 2,138.1 in / d. / 960 in
13.A cylinder has a radius of 3 centimeters and a height of 5 centimeters. What would the height of a cone with the same radius need to be for it to have the same volume? Round to the nearest centimeter.

14. A soccer ball has a circumference of 20 inches. To the nearest cubic inch, what is its volume?

15. Miguel purchased a rectangular fish tank. The tank has a length of 4 ft and width of 2 ft, and a height of 2 ft. If Miguel has already filled the tank half way, how much more water does he need to add to fill the tank to the top?

16. The paperweight shown below is in the shape of a square pyramid. What is the volume of this paperweight?

17. A convention center is in the shape of a rectangular pyramid with a height of 21 m. Its base measures 52 m by 50 m. Find the volume of the convention center. If necessary, round your answer to the nearest tenth.

18. Find the volume to the nearest tenths place.

19.A house with a flat roof is 14 yards long by 16 yards wide by 18 yards tall. A cubic yard is equal to 27 cubic feet. How many cubic feet of space does the house include?

20.Choose the answer choice that best describes the following definition:

A three-dimensional figure with a vertex opposite of one polygon base.

  1. Cylinder
  2. Cone
  3. Pyramid
  4. Prism