Exam: 06.02 Applications of Volume
correctly answered already passed
A watch company is developing packaging for its new watch. The designer uses hexagons with a
base area of 25 in2 and rectangles with a length of 10 in to create a prototype for the new
package. What is the volume of the prototype? - correct answer ✔✔250 in3
Sphere A has a diameter of 2 and is dilated by a scale factor of 3 to create sphere B. What is the
ratio of the volume of sphere A to sphere B? - correct answer ✔✔1:27
A globe company currently manufactures a globe that is 16 inches in diameter. If the dimensions
of the globe were reduced by half, what would its volume be? Use 3.14 for π and round your
answer to the nearest tenth. - correct answer ✔✔267.9 in3
The radius of the cone is 5 in and y = 13 in. What is the volume of the cone in terms of π? -
correct answer ✔✔100π in3
A cylinder has a 10-inch diameter and is 15 inches tall. A 6-inch-diameter ball is placed within
the cylinder, and then the cylinder is filled with water. How much water is in the cylinder? Give
your answer in terms of pi. - correct answer ✔✔339π in3
A square pyramid has a height of 12 units and a volume of 256 units3. If a square prism has the
same the base area and volume as the square pyramid, what is its height? - correct answer
✔✔4 units
The circumference of a redwood tree trunk is 20π ft, and it is 100 ft tall. What is the
approximate volume of the redwood tree trunk? - correct answer ✔✔10,000π ft3
correctly answered already passed
A watch company is developing packaging for its new watch. The designer uses hexagons with a
base area of 25 in2 and rectangles with a length of 10 in to create a prototype for the new
package. What is the volume of the prototype? - correct answer ✔✔250 in3
Sphere A has a diameter of 2 and is dilated by a scale factor of 3 to create sphere B. What is the
ratio of the volume of sphere A to sphere B? - correct answer ✔✔1:27
A globe company currently manufactures a globe that is 16 inches in diameter. If the dimensions
of the globe were reduced by half, what would its volume be? Use 3.14 for π and round your
answer to the nearest tenth. - correct answer ✔✔267.9 in3
The radius of the cone is 5 in and y = 13 in. What is the volume of the cone in terms of π? -
correct answer ✔✔100π in3
A cylinder has a 10-inch diameter and is 15 inches tall. A 6-inch-diameter ball is placed within
the cylinder, and then the cylinder is filled with water. How much water is in the cylinder? Give
your answer in terms of pi. - correct answer ✔✔339π in3
A square pyramid has a height of 12 units and a volume of 256 units3. If a square prism has the
same the base area and volume as the square pyramid, what is its height? - correct answer
✔✔4 units
The circumference of a redwood tree trunk is 20π ft, and it is 100 ft tall. What is the
approximate volume of the redwood tree trunk? - correct answer ✔✔10,000π ft3
