Volume Of Cone

Volume Of Cone

Open Ended

. Find the volume of a cone with a radius 3 inches and height 4 inches. (Use 3.14 for π and round your answer to the nearest tenth) Formula: 1/3πr²h

Volume of a Cone

• The cone is 1/3 of a cylinder’s volume when they have the same radius and height

• ·        Changes in any one of the dimensions (radius or height) of a cone affect the volume of that figure.

• Give example

Multiple Choice

Jessica created a cake in the shape of a party hat. To create the party hat cake, she poured batter into a cone-shaped mold as shown in the diagram. Which expression can be used to find the amount of cake batter Jessica used?

• 5(π)(3)(3)(5)

• (1/3)(π)(3)(5)

• π(9)(5)/3

• (8)(π)(5)/3 X (3)

Open Ended

Which has the greater volume, a cone with a diameter of 12cm and height of 8cm or a cylinder with a radius of 4cm and height of 6cm. Explain your reasoning.

The volume of a cone is 122.8 in³, and its height is 4.5 inches. Find the radius of the base of the cone.

• Formula V=1/3πr²h

• V=122.8 in³ r=? h=4.5

• Plug into formula

• 122.8in³ =1/3πr²4.5

• Solve for r

Open Ended

Solve for the radius of a cone with a volume of 56.52 m³ and a height of 6.

V=1/3πr²h