3D Objects and Cross Sections

Sheila believes that the two cylinders shown in the diagram below have equal volumes. Is Sheila correct or incorrect? Select ALL that apply.

• Sheila is incorrect. The volumes of both cylinders are not equal.

• Sheila is incorrect. One of the cylinders is tilted.

• Sheila is correct. When two cylinders have the same base areas and the same height, their volumes must be the same.

• Sheila is correct. Both cylinders radii and height are equal, so their volumes are the same.

•  

  Sheila is correct. Using Cavalieri’s Principle and the formula v=Bh or  V=πr2h  proves the volumes of the cylinders are equal.

Rotating this circle around the diameter creates a ____________.

• pyramid

• sphere

• cylinder

• cone

Find the volume of the cylinder.

• 4239

• 1696

• 1130

• 565

V = ?

• 14.13 in³

• 56.52 in³

• 169.56 in³

Find the volume of the Sphere

• 78.5 m³

• 392.5 m³

• 523.6 m³

• 62.8 cm³

Find the volume

• 1120 ft2

• 2011 ft2

• 120 ft3

• 1120 ft3

What shape will the horizontal cross-section of a sphere be?

• Dome

• Circle

• Ellipse

• Rectangle

Determine whether the 3-D figures are congruent to each other. (Hint: Find the area of the cross-sectional shapes).

• False. Although the cross-sectionals' area and heights of the 3-D figures are the same,the shapes are not congruent

• True. The cross-sectionals' area and the heights of the 3-D figures are the same. They don't have to be the same shape.

• False. The cross-sections are not the same shape.

• True. All the shapes are 3-D figures and the same height.

What does the "B" in the volume formula V = B x h stand for?

• Bottom of the object

• Box

• Between

• Area of the base

Calculate the volume of the pyramid in the picture.  Round to the nearest whole number if necessary.

• 216 yd³

• 108 yd³

• 72 yd³

• 36 yd³