What is the relationship between the volume of cylinder to a similar cone with the same dimensions?

The volume of the cylinder is 3-times larger

The volume of the cone is 3-times larger

The volume of the cone is 2-times larger

The volume of the cylinder is 2-times larger

Ben drew a cylinder with a ten-inch diameter and a height of 8 inches. Robert drew a cylinder with an eight-inch diameter and a height of 10 inches. Ben stated that he thought the volumes of their two cylinders would be equal. Which statement is true?

Ben’s statement is incorrect. Ben’s cylinder will have a volume about 125 cubic units more than Robert’s cylinder.

Ben’s statement is correct. They will have the same volume.

Ben’s statement is incorrect. Ben’s cylinder will have a volume about 300 cubic units more than Robert’s cylinder.

Ben’s statement is incorrect. Robert’s cylinder will have a volume about 125 cubic units more than Ben’s cylinder.

A cylinder and a cone have congruent bases and heights. What will be the relationship of the volumes of the two figures?

The volume of the cylinder will be three times the volume of the cone.

The volume of the cylinder will be twice the volume of the cone.

The volume of the cone will be one-fourth the volume of the cylinder.

The volume of the cylinder will be 4/3 the volume of the cone.

Which figure has a volume of 45π ft 3 ?

Cylinder with a height of 5ft and diameter of 6 ft

Cone with a radius of 3 feet and height of 5 ft

Sphere with a diameter of 5 feet

Volume

Quiz

•

Mathematics

•

8th Grade

•

Practice Problem

•

Hard

•

CCSS

8.G.C.9, 5.MD.C.5C, HSG.C.A.2

+1

Standards-aligned

Used 4+ times

FREE Resource

27 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A storage container for oil is in the shape of a cylinder with a diameter of 10 ft and a height of 17 ft. Which measurement is closest to the volume of the storage container in cubic feet?

534

1335

691

1696

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A party hat, in the shape of a cone, has an opening of 6 inches, and a height of 9 inches. Which measurement is closest to the volume of the hat?

84.82

339.29

254.47

10174.88

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the correct formula to use when calculating the volume of a cone?

(1/3)rh

(3.14)r-squared

(1/3)(3.14)(r-squared)(h)

(1/3)(3.14)(d)(h)

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A cylinder has a diameter of 12 cm and a height of 9 cm. Which measurement is closest to the volume of the cylinder?

1527

4072

1018

3054

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the correct formula to use when calculating the volume of a sphere?

(4/3)(3.14)(r-squared)

(1/3)(3.14)(r-cubed)

(4/3)(3.14)(r-cubed)

(2/3)(3.14)(r-squared)

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the correct formula to use when calculating the volume of a cylinder?

(3.14)(r-squared)(h)

(3.14)(r-cubed)(h)

(3.14)(d)(h)

(3.14)(d-squared)(h)

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A sphere has a radius of 7 ft. What is closest to the volume of the sphere?

1436.76

10057.3

205.25

51.31

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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Volume

27 questions

A storage container for oil is in the shape of a cylinder with a diameter of 10 ft and a height of 17 ft. Which measurement is closest to the volume of the storage container in cubic feet?

A party hat, in the shape of a cone, has an opening of 6 inches, and a height of 9 inches. Which measurement is closest to the volume of the hat?

What is the correct formula to use when calculating the volume of a cone?

A cylinder has a diameter of 12 cm and a height of 9 cm. Which measurement is closest to the volume of the cylinder?

What is the correct formula to use when calculating the volume of a sphere?

What is the correct formula to use when calculating the volume of a cylinder?

A sphere has a radius of 7 ft. What is closest to the volume of the sphere?

What is the relationship between the volume of cylinder to a similar cone with the same dimensions?

A cylinder has a radius of 12 yards and a height of 21 yards. Which measurement is closest to volume of the cylinder?

A cone with a radius of 5 inches has a volume of approximately 314 cubic inches. Which of the following best represents the height of the cone?

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