Quiz about Exploring Volumes of 3D Shapes

Question 1

What does the letter $$B$$ represent in the formula for the volume of a cone?

Accepted Answer

Area of Base

Answer

Radius of Base

Answer

Diameter of Base

Answer

Base height

Question 2

What does the letter $$B$$ represent in the formula for the volume of a cylinder?

Accepted Answer

Area of Base

Answer

Radius of Base

Answer

Diameter of Base

Answer

Base height

Question 3

What does $$B$$ mean in the formula for the volume of a sphere?

Accepted Answer

Not applicable or not found

Answer

Area of Base

Answer

Radius of Base

Answer

Diameter of Base

Question 4

Identify $$B$$ in the formula for the volume of a cylinder.

Accepted Answer

$$B = \pi r^2$$

Answer

$$B = \pi r^3$$

Answer

$$B = \frac{1}{3} \pi r^2$$

Answer

$$B = \frac{4}{3} \pi r^3$$

Question 5

Identify $$B$$ in the formula for the volume of a cone.

Accepted Answer

$$B = \pi r^2$$

Answer

$$B = \pi r^3$$

Answer

$$B = \frac{1}{3} \pi r^2$$

Answer

$$B = \frac{4}{3} \pi r^3$$

Question 6

Identify $$B$$ in the formula for the volume of a sphere.

Accepted Answer

No Area of Base (B)

Answer

$$B = \pi r^3$$

Answer

$$B = \frac{1}{3} \pi r^2$$

Answer

$$B = \frac{4}{3} \pi r^3$$

Question 7

What is the formula for the volume of a cylinder?

Accepted Answer

$$V = \pi r^2 h$$

Answer

$$V = \frac{1}{3} \pi r^2 h$$

Answer

$$V = \frac{4}{3} \pi r^3$$

Answer

$$V = \pi r^3$$

Question 8

What is the formula for the volume of a cone?

Accepted Answer

$$V=\frac{1}{3}\pi r^2h$$

Answer

$$V = \pi r^2 h$$

Answer

$$V = \frac{4}{3} \pi r^3$$

Answer

$$V = \pi r^3$$

Question 9

What is the formula for the volume of a sphere?

Accepted Answer

$$V = \frac{4}{3} \pi r^3$$

Answer

$$V = \pi r^2 h$$

Answer

$$V = \frac{1}{3} \pi r^2 h$$

Answer

$$V = \pi r^3$$

Question 10

If the diameter of a cone is 10 cm, what is the radius?

Accepted Answer

5 cm

Answer

10 cm

Answer

15 cm

Answer

20 cm

Question 11

Calculate the volume of a cone with a radius of 3 cm and a height of 9 cm. Give your answer in terms of $$\pi$$ .

Accepted Answer

$$27\pi \, ext{cm}^3$$

Answer

$$81\pi \, ext{cm}^3$$

Answer

$$54\pi \, ext{cm}^3$$

Answer

$$18\pi \, ext{cm}^3$$

Question 12

Calculate the volume of a sphere with a diameter of 12 cm. Round your answer to the nearest hundredth.

Accepted Answer

$$904.78 \, ext{cm}^3$$

Answer

$$909.32 ext{cm}^3$$

Answer

$$7693.82 ext{cm}^3$$

Answer

$$723.82 \, ext{cm}^3$$

Question 13

Calculate the volume of a cylinder with a radius of 4 cm and a height of 10 cm. Give your answer in terms of $$\pi$$ .

Accepted Answer

$$160\pi \, ext{cm}^3$$

Answer

$$80\pi \, ext{cm}^3$$

Answer

$$40\pi \, ext{cm}^3$$

Answer

$$320\pi \, ext{cm}^3$$

Question 14

Convert a diameter of 16 cm to a radius.

Accepted Answer

8 cm

Answer

16 cm

Answer

32 cm

Answer

4 cm

Question 15

Calculate the volume of a cone with a diameter of 8 cm and a height of 12 cm. Round your answer to the nearest hundredth.

Accepted Answer

$$201.06 \, ext{cm}^3$$

Answer

$$1205.72 ext{cm}^3$$

Answer

$$904.04 ext{cm}^3$$

Answer

$$150.72 \, ext{cm}^3$$

Question 16

Calculate the volume of a sphere with a radius of 5 cm. Give your answer in terms of $$\pi$$ .

Accepted Answer

$$\frac{500}{3}\pi \, ext{cm}^3$$

Answer

$$\frac{250}{3}\pi \, ext{cm}^3$$

Answer

$$500\pi \, ext{cm}^3$$

Answer

$$250\pi \, ext{cm}^3$$

Question 17

Calculate the volume of a cylinder with a diameter of 14 cm and a height of 7 cm. Round your answer to the nearest hundredth.

Accepted Answer

$$1077.57 \, ext{cm}^3$$

Answer

$$4310.27 ext{cm}^3$$

Answer

$$1043.73 ext{cm}^3$$

Answer

$$5052.97 ext{cm}^3$$

Question 18

What is the base area $$B$$ in the formula for the volume of a cone with a radius of 6 cm?

Accepted Answer

$$36\pi \, ext{cm}^2$$

Answer

$$12\pi \, ext{cm}^2$$

Answer

$$18\pi \, ext{cm}^2$$

Answer

$$72\pi \, ext{cm}^2$$

Question 19

To convert diameter of a circle to the radius, I need to multiply by 2.

Accepted Answer

False

Answer

True

Question 20

find the volume. Round to the nearest hundredth.

Accepted Answer

1526.82mi

Answer

1326cm3

Answer

6104.16mi³

Answer

1026.04mi³

Question 21

Find the volume of the cylinder.

Accepted Answer

1696

Answer

4239

Answer

1130

Answer

565

Question 22

Find the volume of the figure shown.

round to the nearest hundredth

Accepted Answer

$$1130.97\ m^3$$

Answer

$$1131\ m^3$$

Answer

$$376.99\ m^3$$

Answer

$$4523.89\ m^3$$

Question 23

Find the volume of the figure.

Accepted Answer

$$4188.79\ in^3$$

Answer

$$3254.09\ in^3$$

Answer

$$4768.61\ in^3$$

Answer

$$33510.3\ in^3$$

Exploring Volumes of 3D Shapes

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