Volume of a Cone

Agenda:

1. Log in to Quizizz to access Lesson.

2. Write the Lesson and I Can Statement.

3. Take down notes from the Quizizz.

4. Practice Work

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​March 14, 2023

Multiple Choice

WARM UP:

What is the volume of a cylinder if it has a radius of 2 in and a height of 6 in?

• V = πr²h

  V = (3.14)(2)²(6)

  V = 75.36 in³

• V = πr²h

  V = (3.14)(2)(6)

  V = 37.68 in³

• V = πr²h

  V = (3.14)(6)²(2)

  V = 226.08 in³

• V = πr²h

  V = (3.14)(2)²(6)

  V = 150.72 in³

• I can find the volume, radius, and heaight of a cylinder in mathematical and real-world situations.

Volume of a Cone

Open Ended

Based on the video, what conclusion can you derive from it?

Multiple Select

Which of the following shows the correct formula of the volume of a cone?

• $$V=\frac{1}{3}Bh$$

• $$V=3\pi r^2h$$

• $$V=\frac{\pi r^2h}{3}$$

• $$V=\frac{1}{3}\pi r^2h$$

• $$V=\frac{Bh}{3}$$

a distinctive three-dimensional geometric figure with a flat and curved surface pointed towards the top (vertex).

Formula:

Volume of a Cone

Multiple Select

Which of the following phrases is associated with cone?

• circular base

• two circular bases

• pointy end (vertex)

• slanting body surface

• has a height

Fill in the Blank

What is the ratio between the volume of the cone to the cylinder if they have the same height and radius of the base?

Multiple Choice

If the volume of a cylinder is 6 cubic units, what could be the volume of the cone?

• The volume of the cone is 18 cubic units, since its volume is thrice that of the cylinder.

• The volume of the cone is 2 cubic units, since its volume is a third of the cylinder.

• The volume of the cone is 3, since its volume is half that of the cylinder.

• The volume of the cone is 12 cubic units, since its volume is twice that of the cylinder.

Formula:

Volume of a Cone

Multiple Choice

Which of the following is true of about the radius of a circle?

• The radius is always longer than the diameter.

• The radius is half the length of the height.

• The radius is always half the length of the diameter.

• The radius is twice the length of the diameter.

What is the volume of the given cone?

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​Problem 1:

Fill in the Blank

What is the volume of the cone in Problem 1? Round your answer to nearest tenth.

Multiple Choice

A water container has a circular base with an area of 4 in² and a height of 6 in. Using the best formula V = Bh, which is the correct substitution of the measurements?

• V = (4)(6)

• V = (4) + (6)

• V = (4) - (6)

• $$V=\frac{\left(4\right)}{\left(6\right)}$$

What is the volume of the given cone?

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​Problem 2:

Fill in the Blank

What is the volume of the cone in Problem 2? Round your answer to nearest tenth.

​Problem 3:

Fill in the Blank

What is the height of the cone in Problem 3? Round your answer to nearest tenth.

Open Ended

What new thing did you learn today?

Poll

How did you find the lesson today?