Volume of Geometric Shapes Quiz

Which of the following is closest to the volume of the cone shown below?

• 760.3 cm³

• 414.6 cm³

• 1244.1 cm³

• 414.7 cm³

Which of the following is closest to the volume of the cone shown below, expressed in terms of π?

• 1613π cm³

• 4840π cm³

• 403π cm³

• 1210π cm³

What is the height of a cylinder with a radius of 4 cm and a volume of 128π cm³?

• 8 cm

• 32 cm

• 2 cm

• 2.55 cm

What is the diameter of a cylinder with a height of 4 in and a volume of 121π in³?

The right cylinder shown has a diameter of 15ε and a height of 11ε. Which of the following is the closest to the volume of these cylinders in cubic inches?

• 7775.4 in³

• 5702.0 in³

• 1943.9 in³

• 2851.0 in³

Which of the following is closest to the volume of the right cylinder shown in cubic inches?

• 2356.2 in³

• 14137.2 in³

• 9424.8 in³

• 28274.3 in³

What is the volume of the sphere below with a diameter of 18 mm, expressed in terms of π?

• 972π mm³

• 7776π mm³

• 108π mm³

• 432π mm³

What is the approximate volume of the sphere?

At the beach, Vinny uses a container in the shape of a cylinder to build a sand castle. He completely fills the container with sand. The container has a height of 10 inches and a diameter of 12 inches. Determine the volume of sand that the container can hold. Express the answer in terms of π. V = πr²h

Mathematical Equivalence

ON

Mathematical Equivalence

ON