Geometry Regents Quiz

What is the shape of the new container designed for the chocolate-covered almonds?

• Cylinder

• Cone

• Rectangular prism with a square base

• Sphere

What is the formula used to calculate the volume of a cylinder?

• πr²h

• 4/3πr³

• 2πr²

• Length × Width × Height

If the diameter of the cylinder is 14 cm, what is its radius?

• 7 cm

• 3.5 cm

• 28 cm

• 14 cm

What is the volume of the original cylindrical container in terms of π?

• 882π

• 1764π

• 441π

• 49π

How do you determine the side length of the new container?

• By measuring the height

• By equating the volume to that of the cylinder

• By using the diameter of the cylinder

• By calculating the surface area

What is the side length of the new container rounded to the nearest tenth?

• 15.3 cm

• 14.0 cm

• 13.2 cm

• 12.5 cm

What are the dimensions of the shelf on which the containers are placed?

• 70 cm long and 90 cm wide

• 100 cm long and 50 cm wide

• 80 cm long and 60 cm wide

• 60 cm long and 80 cm wide

How many containers can fit along the width of the shelf?

• 6

• 5

• 3

• 4

How many containers can fit along the length of the shelf?

• 7

• 6

• 5

• 8

What is the maximum number of containers that can fit on the shelf?

• 22

• 20

• 26

• 24