Surface Area and Volume of Cones Advanced

Surface Area and Volume of Cones

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Cone Formulas

Example Problem

Multiple Choice

Find the lateral area of the cone. Round to the nearest tenth.

• 4,398.2 m²

• 4,228.3 m²

• 2,199.1 m²

• 2,111.2 m²

Multiple Choice

Find the surface area of the cone. Round to the nearest tenth.

• 2,814.9 m²

• 4,662.1 m²

• 2,726.9 m²

• 5,014.0 m²

Multiple Choice

Find the volume of the cone. Round to the nearest tenth.

• 10,262.5 m³

• 9,852.0 m³

• 30,787.6 m³

• 29,556.1 m³

Multiple Choice

Find the lateral area of the cone. Round to the nearest tenth.

• 377.0 in²

• 427.3 in²

• 801.1 in²

• 201.1 in²

Multiple Choice

Find the surface area of the cone. Round to the nearest tenth.

• 578.1 in²

• 1,002.2 in²

• 628.3 in²

• 1,231.5 in²

Multiple Choice

Find the volume of the cone. Round to the nearest tenth.

• 1,005.3 in³

• 3,015.9 in³

• 3,418.1 in³

• 1,139.4 in³

Multiple Choice

Find the surface area. The bottom base is a square. The cone is a hole cut in the prism. Round to the nearest tenth.

• 214.6 cm²

• 219.8 cm²

• 223.7 cm²

• 207.5 cm²

Multiple Choice

Find the volume. The bottom base is a square. The cone is a hole cut in the prism. Round to the nearest tenth.

• 163.2 cm³

• 127.9 cm³

• 139.7 cm³

• 207.5 cm³

Multiple Choice

Find the surface area of the composite solid. Round to the nearest tenth.

• 546.6 mm²

• 433.5 mm²

• 659.7 mm²

• 482.7 mm²

Multiple Choice

Find the volume of the composite solid. Round to the nearest tenth.

• 1,168.7 mm³

• 1,312.6 mm³

• 1,040.7 mm³

• 437.5 mm³

Multiple Choice

Find the radius of the cone given that the volume is

$$480\pi\ ft.^3$$  

• 6.8 ft

• 10 ft

• 12 ft

• 8.3 ft