Math Volume Cone, Cylinder, Sphere

Which object is formed when right triangle RST shown above is rotated around leg RS?

• a pyramid with a square base

• an isosceles triangle

• a right triangle

• a cone

A student has a rectangular postcard that he folds in half lengthwise. Next, he rotates it continuously about the folded edge. Which three-dimensional object below is generated by this rotation?

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If the rectangle above is continuously rotated about side w, which solid figure is formed?

• pyramid

• rectangular prism

• cone

• cylinder

Triangle ABC represents a metal flag on pole AD. On a windy day the triangle spins around the pole so fast that it looks like a three-dimensional shape. Which shape would the spinning flag create?

• sphere

• pyramid

• right circular cylinder

• cone

Label each figure with the correct volume.

b

c

d

217.8 sq. cm

200 cubic cm

628.3 cubic cm

1,436.8 cubic cm

Find the Volume of the Cone

• 150.72 cm³

• 75.36 cm³

• 452.16 cm³

• 151 cm³

V = ?

• 14.13 in³

• 56.52 in³

• 169.56 in³

V_{total}=V_{cone}+V_{cylinder} V = ? V_{total}=rac{1}{3} ext{π} r^{2}h+ ext{π} r^{2}h Remember there are 2 different heights.

• 1,356 m³

• 1,734 m³

• 377 m³

• 590 m³

Order the volume of the figures from least to greatest. Use 3.14 for Pi. Show all work.

• Cone, Sphere, Cylinder

• Sphere, Cone, Cylinder

• Cone, Cylinder, Sphere

• Sphere, Cylinder, Cone

What is the volume? (use 3.14 for pi)