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Cylinder Volume Quiz

Authored by Joel De Leon

Mathematics

7th Grade

CCSS covered

Used 20+ times

Cylinder Volume Quiz
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 10 pts

Find the volume of a cylinder with a radius of 3 cm and a height of 7 cm. Use the formula V=πr2hV = \pi r^2 h .

197.82197.82 cm³

395.64395.64 cm³

593.46593.46 cm³

791.28791.28 cm³

Answer explanation

To find the volume of a cylinder, use the formula V = πr²h. Substituting r=3 cm and h=7 cm, V = π(3)²(7) = 63π ≈ 197.82 cm³. Therefore, the correct answer is 197.82 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

2.

MULTIPLE CHOICE QUESTION

15 mins • 10 pts

A cylindrical container has a radius of 4 cm and a height of 6 cm. What is its volume? Use the formula V=πr2hV = \pi r^2 h .

301.4301.4 cm³

603.2603.2 cm³

402.4402.4 cm³

201.2201.2 cm³

Answer explanation

To find the volume of a cylinder, use the formula V = πr²h. Substituting r = 4 cm and h = 6 cm, V = π(4²)(6) = 603.2 cm³. Therefore, the correct answer is 603.2 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

3.

MULTIPLE CHOICE QUESTION

15 mins • 10 pts

If the volume of a cylinder is 706.5706.5 cm³ and the radius is 3 cm, what is the height of the cylinder? Use the formula V=πr2hV = \pi r^2 h .

5 cm

10 cm

25 cm

20 cm

Answer explanation

Using the formula V = πr^2h, we can solve for h: h = V / (πr^2) = 706.5 / (π * 3^2) ≈ 25 cm. Therefore, the correct answer is 25 cm.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

4.

MULTIPLE CHOICE QUESTION

15 mins • 10 pts

Which of the following is the correct formula to calculate the volume of a cylinder?

V=πrhV = \pi r h

V=πr2hV = \pi r^2 h

V=2πrhV = 2\pi r h

V=πr2V = \pi r^2

Answer explanation

The correct formula to calculate the volume of a cylinder is V = \pi r^2 h, where r is the radius and h is the height of the cylinder.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

5.

MULTIPLE CHOICE QUESTION

15 mins • 10 pts

A cylindrical can has a diameter of 10 cm and a height of 12 cm. What is its volume? Use the formula V=πr2hV = \pi r^2 h .

942942 cm³

18841884 cm³

471471 cm³

314314 cm³

Answer explanation

The volume of a cylinder is calculated using the formula V = πr^2h. Given diameter = 10 cm, radius = 5 cm. Substituting r = 5 cm and h = 12 cm into the formula gives V = π(5)^2(12) = 942 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

6.

MULTIPLE CHOICE QUESTION

15 mins • 10 pts

Find the volume of a cylinder with a radius of 5 cm and a height of 10 cm. Use the formula V=πr2hV = \pi r^2 h .

785.4785.4 cm³

1570.81570.8 cm³

2356.22356.2 cm³

3141.63141.6 cm³

Answer explanation

To find the volume of a cylinder, use the formula V = πr²h. Substituting r = 5 cm and h = 10 cm, V = π(5)²(10) = 785.4 cm³. Therefore, the correct answer is 785.4 cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

7.

MULTIPLE CHOICE QUESTION

15 mins • 10 pts

A cylindrical water tank has a radius of 5 meters and a height of 8 meters. How much water can it hold? Use the formula V=πr2hV = \pi r^2 h .

628628 m³

12561256 m³

18841884 m³

25122512 m³

Answer explanation

The formula for the volume of a cylinder is V = πr^2h. Substituting r = 5m and h = 8m, we get V = π(5^2)(8) = 1256 m³. Therefore, the tank can hold 1256 cubic meters of water.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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