Volume of 3D Figures.

Volume of 3D Figures

By Minh Ung

Multiple Choice

1. A cylindrical cup has a base with a radius of 3 cm. Describe the next steps necessary to find the volume of the cup.

• A. Multiply 3 by the height of the cup.

• B. Use πr² to find the area of the base. Then, multiply the area by the height of the cup.

• C. Use 2πrh to find the circumference of the base. Then, multiply the circumference by the height of the cup.

• D. None of the above.

Multiple Choice

3. Which formula could be used to find the volume of the sphere shown below?

• V = π(17)²h
• V = (1/3)π(8.5)²(17)
• V = (4/3)π(8.5)³
• V = 2π(8.5)²

Multiple Choice

4. Jessie is using the formula V = Bh to find the volume of the cylinder below. Which of the following is the approximate value of “B”?

• 150.8
• 113.1

• 94.2
• 78.5

Multiple Choice

5. Find the volume of the cone to the nearest tenth.

• 5.2
• 3.5
• 6.1
• 4.8

Multiple Choice

Answer the question.

• 25.13

• 33.49

• 26.14

• 100.48

Multiple Choice

The cone shown below has a slant height of 15 centimeters and a height of 12 centimeters. What is the radius?

• 8 centimeters
• 10 centimeters
• 9 centimeters
• 11 centimeters

Multiple Choice

"The cone shown below has a slant height of 15 centimeters and a height of 12 centimeters."

What is the volume of the cone to the nearest tenth?

• 1200.2 cm³
• 850.5 cm³
• 1017.4 cm³
• 500.0 cm³

Multiple Choice

8. Find the volume of the sphere shown below. Leave your answer in terms of 𝜋.

• 72π
• 144π
• 216π
• 288π

Multiple Choice

9. A kid’s pool is cylindrical and has a radius of 5 feet and a height of 2 feet. If a cubic foot holds about 7.48 gallons of water, how many gallons of water does the kid’s pool hold? Round the nearest hundredth.

• 200 gallons
• 1500 gallons
• 1174.96 gallons

• 1000 gallons

Multiple Choice

10. A cylinder has a height of 8 feet and a diameter of 12 feet. Which of the following is a true statement?

• A. The area of the base is 36π ft²

• B. The volume of the cylinder is 288π ft³

• C. A cone with the same height and radius would have a volume of 96π ft³

• D. All of the above

Multiple Choice

11. A frozen yogurt shop charges $0.08 per cubic inch of frozen yogurt in each cone-shaped cup. If each cup has a radius of 3 inches and a height of 5 inches, what would it cost to fill the cone to its full capacity?

• $5.00

• $3.77

• $4.20

• $2.50

Multiple Choice

12. Which of the following is the volume of a hemisphere with a radius of 8 inches?

• 535.89

• 2144.66

• 1067.68

• 1072.33

Multiple Choice

13. Harvey bought a piñata in the shape of a soccer ball and a piñata in the shape of a basketball. Both piñatas are spheres with a radius of 5 inches. What is the total volume of the two piñatas? Round to the nearest tenth.

• 1047.2
• 785.4
• 904.3
• 500.0

Multiple Choice

14. The cylinder below has a volume of 2,512 cm³ and a height of 8 centimeters. What is the diameter of the cylinder? Use 3.14 for pi.

• 18.00 cm
• 22.00 cm
• 20 cm

• 15.50 cm

Multiple Choice

15. Darla has three buckets shaped like cylinders. She is filling the buckets with water by using a scoop shaped like a cone. If the cone has the same radius and the same height as the buckets, how many scoops will it take her to fill the three buckets?

• 9 scoops
• 15 scoops
• 12 scoops
• 6 scoops

Multiple Choice

Which of the following is true about the Pythagorean Theorem?

• $$a^2+b^2=c^2$$

• $$a^2+b^2<c^2$$

• $$a^2-b^2=c^2$$

• none of these above

Multiple Choice

which of the following is true about a cone?

• a cone is 1/2 of a cylinder with the same height and base.

• a cone is 1/3 of a cylinder with the same height and base.

• a cone have the same size of cylinder

• a cone is 3 times bigger than a cylinder.