volume of cones and pyramids

Determine the volume of the cone.

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

A cone and a cylinder have the same diameter and height. How many times greater is the cylinder's volume than the cone's?

• 1
• 2
• 3
• 4

Tags

CCSS.5.MD.C.5C

The volume of a cone is 1/3 the volume of a cylinder when the radii and heights are equal.

• True

• False

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

What is the volume of the cone to the nearest tenth (use the $\pi$ button)?

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Mathematical Equivalence

ON

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

A cylinder has a height of 12 cm and a base radius of 4 cm. Write an expression for the cone's volume with the same dimensions

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Mathematical Equivalence

ON

Tags

CCSS.HSG.GMD.A.3

Tags

CCSS.HSG.GMD.A.3

A square-based pyramid has the same base area and height as a rectangular prism. How does the pyramid's volume compare to the prism's volume?

• The pyramid's volume is equal to the prism's.

• The pyramid's volume is one-third the prism's.

• The pyramid's volume is half the prism's.

• The pyramid's volume is three times the prism's.

Tags

CCSS.HSG.GMD.A.3

A rectangular prism, shown to the right, has a Base Area of 16 square centimeters and a height of 6 centimeters. What is the volume of a square-based pyramid with the same base area and height?

• 96 cm³

• 32 cm³

• 10.6 cm³

• 72.3 cm³

Tags

VA.MATH.8.MG.2.d

VA.MATH.9-12.G.DF.1.c