Objects and Solids

Determine the volume of the composite solid. Round your answer to the nearest tenth.

• 150.8

• 1504.1

• 1529.2

• 1680

Luis has a pyramid shaped plant pot. It has a square base with a side length of 36 cm, and a height of the pot is 36 cm. Luis wants to fill the pot with soil so that the soil takes up 75% of the pot's volume. How far up the pot will the soil reach? round to the nearest cm.

• 33 cm

• 27 cm

• 11,664 cm^3

• 15,552 cm^3

Which 2-D shape could be revolved about the vertical line to create the 3-D solid?

• 
• 
• 
• 

Determine the approximate height of a cone with volume 124 in³ and radius 7 in.

• 2.4 in

• 7.6 in

• 16.9 in

• 8.1 in

What is the radius of a cylinder with volume 300π cm³ and height 12 cm?

• 12.5 cm

• 5√3 cm

• 25 cm

• 5 cm

Determine the exact volume of a sphere with diameter of 12 in.

• 2304π in³

• 288π in³

• 48π in³

• 1296π in³

Cavalieri’s Principle states that any two objects with the same cross sectional areas and heights must have the same volume.

• True

• False - the cross sectional areas are not relevant

• False - only the slant height is relevant

• False - even if they have the same cross sectional areas and heights, they cannot have the same volume.

Based on Cavalieri's Principle, will the two prisms have the same volume?

• No, they will not be same. Although the heights are the same, the cross-sections are different shapes. 

• Yes, the heights of both prisms are the same and they have the same cross-sectional area. Therefore, they will have the same volume.
  

Anju's office uses paper cups shaped like cones to serve water. Each cup has a maximum diameter of 8 cm and a height of 10 cm. Anju fills the cup to 3/4 of its height to prevent spills.

What is the approximate volume of the water in Anju's cup? Round to the nearest cubic centimeter.

• 168 cm^3

• 126 cm^3

• 71 cm^3

• 80 cm ^3

Which of the following is NOT a cross section of a cone?

• Circle

• Parabola

• Hyperbola

• ellipse