Duggan Geometry

A cylinder has a height of 7 inches and a diameter of 4 inches. Which measurement below is closest to the volume of the cylinder in cubic inches?

• A. 87.9 in³

• B. 351.8 in³

• C. 615.7 in³

• D. 153.9 in³

A plastic ball is shaped like a sphere and has a diameter of 12.8 inches.

Which measurement is closest to the volume of the plastic ball in cubic inches?

• 6,588.4 in³

• 8,784.5 in³

• 1,098.1 in³

• 823.5 in³

Aubrey has a cone shaped hat.

The dimensions of the hat are shown.

Which measurement is closest to the volume

of the hat in cubic centimeters?

• 837.7 cm³

• 670.2 cm³

• 502.6 cm³

• 167.5 cm³

Which statement about the volumes

of the cone and cylinder is true?

• A. The volume of the cylinder is about 9.4 cubic centimeters less than the volume of the cone.

• B. The volume of the cylinder is about 9.4 cubic centimeters greater than the volume of the cone.

• C. The volume of the cylinder is about 103 cubic centimeters less than the volume of the cone.

• D. The volume of the cylinder is about 103 cubic centimeters greater than the volume of the cone.

The diagram below shows a right triangle and the dimensions of two of its sides. Which measurement is closest to the value of x in yards?

• 14.5 yds.

• 10.8 yds.

• 19.6 yds.

• 6.0 yds.

A cylinder and its dimensions are shown below. Which measurement is closest to the lateral surface area in square inches of the cylinder?

• 90.4 in²

• 54.2 in²

• 108.5 in²

• 76.4 in²

A container is shaped like a cylinder and has a diameter of 8 inches and a height of 12 inches. Which measurement is closest to the total surface area of the container in square inches?

• 1,005.31 in²

• 603.19 in²

• 301.59 in²

• 402.12 in²

The dimensions of a triangular prism is shown below. What is the lateral surface area of the triangular prism in square meters?

• 200 m²

• 300 m²

• 74 m²

• 92 m²

• 75
• 70
• 50 
• 100
• 72