Math 3 EOC Review: Volume and Surface Area

What is the approximate surface area of the figure shown?

• 1298.5 m²

• 1339.9 m²

• 1377.7 m²

• 1450.1 m²

The volume of a ball is 382 cubic inches. Approximately how many square inches of material would be needed to cover the entire ball?

• 254.6

• 271.4

• 299.2

• 309.0

The image shown is revolved around the y-axis, resulting in a 3-dimensional figure.

What is the approximate volume of the outer layer of the 3-dimensional figure that is formed? (The light green portion of the figure.)

• 319.4 units³

• 341.8 units³

• 377.0 units³

• 397.5 units³

What is the resulting cross section when the pyramid is slice as shown?

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An aeronautical engineer designs a small component part made of copper that is to be used in the manufacturing of an aircraft. The part consists of a hemisphere that sits perfectly on top of a cylinder, as shown in the diagram. The radius of the hemisphere is given as 4 centimeters, and the height of the cylinder is given as 6 centimeters.

What is the volume of the component part?

• 385.2 cm³

• 411.9 cm³

• 421.8 cm³

• 435.6 cm³

The square pyramid shown has a weight of 2,000 grams.

What is the approximate density of the pyramid?

• 1.09 grams/units³

• 1.28 grams/units³

• 1.69 grams/units³

• 1.90 grams/units³

What is the approximate surface area of the figure shown?

• 246.6 cm²

• 292.0 cm²

• 332.7 cm²

• 367.5 cm²

The circle shown in the coordinate plane is revolved around the y-axis, forming a solid figure.

Which of the following described the solid that is formed?

• sphere

• torus (doughnut)

• cylinder

• hemisphere