Volume of Cylinders

Agenda:

1. Log in to Quizizz to access Lesson.

2. Take down notes from the Quizizz.

3. Practice Work

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Multiple Choice

Refer to the circle.

What do you call the 7 cm measure of the circle?

• diameter

• area

• radius

• circumference

Multiple Choice

What is the radius of the circle?

• 7 cm

• 14 cm

• 3.5 cm

• 49 cm

Multiple Choice

What is the radius of the circle?

• 12

• 72

• 18

• 36

Multiple Choice

What is the radius of the circle?

• 25

• 50

• 5

• 12.5

• I recognize the 3D shapes cylinder, cone, rectangular prism, and sphere.

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

Volume of a Cylinder

Multiple Choice

What is volume of an object?

• The total length of an object.

• The amount of space contained in a three-dimensional object.

• The amount of space contained by a flat object.

• The height of an object.

Open Ended

If the given containers will be filled in with water, which one can hold the greatest amount of water? Why?

Multiple Choice

Which of the following is a cylinder?

Multiple Select

The container of the Pringles is an example of a cylinder. Select all the statement that could describe the container of a Pringles.

• It has a height.

• It has circular bottom.

• It has a circular top.

• It has a rectangular body.

• The body is round.

A cylinder is a three-dimensional object with two identical flat ends that are circular and are joined by a curved surface.

Formula:

Volume of a Cylinder

​V = Bh → used when base (B) is given.

Multiple Select

Which of the following phrases is associated with cylinders?

• two identical ends

• circular ends

• pointy ends

• two dimensional

• three dimensional

Multiple Select

Which of the following is the correct formula for the volume of a cylinder?

• $$V=Bh$$

• $$V=\pi r^2h$$

• $$V=\pi rh$$

• $$V=Br$$

Formula:

Volume of a Cylinder

​V = Bh

​V=πr²h

Multiple Choice

In the formula V = Bh, what does B means?

• Area of the circular base.

• Area of the curved surface.

• Area of the rectangular base.

• Area of the radius.

Multiple Choice

In the formula V = Bh, what does B equal to?

• $$\pi r$$

• $$\pi r^2$$

• $$2\pi r$$

• $$\pi^2r$$

Multiple Choice

In the formula $$V=\pi r^2h$$ , what does h means?

• height of the circular bases.

• height of the curved surface.

• height of the rectangular base.

• height of the radius.

Multiple Choice

In the formula $$V=\pi r^2h$$ , what does r means?

• radius of the height

• radius of the circular base

• radius of the rectangular base.

• radius of the volume

Multiple Choice

In the formula $$V=\pi r^2h$$ , what does $$\pi r^2$$ means?

• area of the circular base

• area of the curved area

• area of the pointy ends

• radius

A water container has a circular base with an area of 4 in² and a height of 6 in.

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​Problem 1:

Multiple Choice

A water container has a circular base with an area of 4 in² and a height of 6 in. Which formula is best to use in the given problem?

• $$V=Bh$$

• $$V=\pi r^2h$$

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)

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

Multiple Choice

A water container has a circular base with an area of 4 in² and a height of 6 in. What is the volume?

• V = 24 in³

• V = 10 in³

• V = 2 in³

• V = 0.33 in³

The radius of the base of a cylindrical container is 2 inches and the height is 4 inches long.

​

​Problem 2:

Multiple Choice

The radius of the base of a cylindrical container is 2 inches and the height is 4 inches long. Which formula is best to use in the given problem?

• $$V=Bh$$

• $$V=\pi r^2h$$

Multiple Choice

The radius of the base of a cylindrical container is 2 inches and the height is 4 inches long. Using the best formula $$V=\pi r^2h$$ , which is the correct substitution of the measurements?

• $$V=\left(3.14\right)\left(2\right)^2\left(4\right)$$

• $$V=\left(3.14\right)\left(2\right)\left(4\right)$$

• $$V=\left(2\right)^2\left(4\right)$$

• $$V=\left(3.14\right)\left(2\right)\left(4\right)^2$$

Multiple Choice

The radius of the base of a cylindrical container is 2 inches and the height is 4 inches long. After substituting $$V=\left(3.14\right)\left(2\right)^2\left(4\right)$$ , what is the next simplified form?

• V = (3.14)(4)(4)

• V = (3.14)(8)

• V = (4)(4)

• V = (3.14)(2)(16)

Multiple Choice

The radius of the base of a cylindrical container is 2 inches and the height is 4 inches long. After substituting $$V=\left(3.14\right)\left(4\right)\left(4\right)$$ , what is the next simplified form?

• V = (3.14)(16)

• V = 25.12

• V = 16

• V = (3.14)(32)

Multiple Choice

The radius of the base of a cylindrical container is 2 inches and the height is 4 inches long. After substituting $$V=\left(3.14\right)\left(16\right)$$ , what is the next simplified form?

• V = 50.24 in³

• V = 25.12 in³

• V = 16 in³

• V = 100.48 in³

​Problem 3:

Multiple Choice

Refer to the figure on the right side.

Which equation shows the correct substitution of the given values into the formula?

• $$V=\pi\cdot4^2\cdot10$$ m³

• $$V=\pi\cdot10^2\cdot4$$ m³

• $$V=3.14\cdot4^2\cdot10$$ m³

• $$V=\pi\cdot2\left(4\right)\cdot10$$ m³

Multiple Choice

Refer to the figure on the right side.

What is the volume of the cylinder in terms of $$\pi$$ ?

• $$V=160\pi$$ m³

• $$V=400\pi$$ m³

• $$V=502\pi$$ m³

• $$V=80\pi$$ m³

Multiple Choice

Refer to the figure on the right side.

What is the volume of the cylinder in the nearest tenths?

• $$V=502.7$$ m³

• $$V=1,256.6$$ m³

• $$V=1,577.1$$ m³

• $$V=251.3$$ m³

​The cylinder shown has a diameter of 11 inches. Find the volume of the cylinder in terms of  and in the nearest tenth.

Given:

​Problem 4:

Multiple Choice

The cylinder shown has a diameter of 11 inches. What is the radius of the circular base?

• 5.5
• 11

• 22

• 2

Multiple Choice

The cylinder shown has a diameter of 11 inches. Which equation tells you the volume of the cylinder in terms of $$\pi$$ ?

• $$V=\pi\cdot11^2\cdot4$$

• $$V=\pi\cdot4^2\cdot11$$

• $$V=\pi\cdot5.5^2\cdot4$$

• $$V=\pi\cdot2^2\cdot11$$

Multiple Choice

The cylinder shown has a diameter of 11 inches. What is the volume of the cylinder in terms of $$\pi$$ ?

• $$V=484\pi$$

• $$V=176\pi$$

• $$V=121\pi$$

• $$V=44\pi$$

Multiple Choice

The cylinder shown has a diameter of 11 inches. What is the volume of the cylinder in nearest tenths?

• $$V=1,520.5$$

• $$V=552.9$$

• $$V=380.1$$

• $$V=138$$

Open Ended

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Poll

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