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8th Grade

22 Qs

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Assessment

Quiz

Mathematics

8th Grade

Practice Problem

Hard

CCSS
8.G.C.9, HSG.GMD.A.3

Standards-aligned

Created by

Marquis Lynch

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22 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How do you find the volume of a cylinder?

V= 1/πr2h

V= 4/πr2h

V= 4/πr3

V= πr2h

Answer explanation

The volume of a cylinder is calculated using the formula V = πr²h, where r is the radius and h is the height. This formula accounts for the circular base area (πr²) multiplied by the height (h).

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How do you find the volume of a cone?

V= 1/πr2h

V= 4/πr2h

V= 4/πr3

V= πr2h

Answer explanation

The volume of a cone is calculated using the formula V = (1/3)πr²h, where r is the radius of the base and h is the height. This formula accounts for the cone's tapering shape, making the correct choice V = (1/3)πr²h.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

How do you find the volume of a sphere?

V= 1/πr2h

V= 4/πr2h

V= 4/πr3

V= πr2h

Answer explanation

The volume of a sphere is calculated using the formula V = \frac{4}{3} \pi r^3, where r is the radius. This formula accounts for the three-dimensional nature of a sphere, making it the correct choice.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which figure has a volume of 45π ft3?

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

Sphere with a radius of 3 ft

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

Sphere with a diameter of 5 feet

Answer explanation

The volume of a cylinder is calculated using the formula V = πr²h. For the cylinder with a height of 5 ft and diameter of 6 ft (radius 3 ft), V = π(3²)(5) = 45π ft³, confirming it as the correct choice.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

The figure shown below is composed of a rectangular prism and two half cylinders. Which is closest to the volume of the figure?

781 cm3

706 cm3

631 cm3

593 cm3

Answer explanation

To find the volume, calculate the volume of the rectangular prism and the two half cylinders. The total volume is approximately 706 cm³, making it the closest choice to the actual volume.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

6.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

A table tennis ball has a diameter of 40 mm. What is the approximate volume of the table tennis ball in cubic millimeters?

1,676 mm3

18,850 mm3

33,510.3 mm3

268,083 mm3

Answer explanation

To find the volume of a sphere, use the formula V = (4/3)πr³. The radius r is half the diameter, so r = 20 mm. Calculating gives V ≈ 33,510.3 mm³, which matches the correct answer.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Russell is filling a cylinder-shaped swimming pool that has a diameter of 20 feet. He fills it with water to a depth of 3 feet. What is the volume of the water in the pool, to the nearest cubic foot?

377 cubic feet

942 cubic feet

2,958 cubic feet

3,768  cubic feet

Answer explanation

To find the volume of water, use the formula for the volume of a cylinder: V = πr²h. The radius r is 10 feet (half of the diameter), and the height h is 3 feet. Thus, V = π(10)²(3) ≈ 942 cubic feet, which is the correct answer.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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