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Exploring Surface Area and Volume of Spheres

Exploring Surface Area and Volume of Spheres

Assessment

Interactive Video

Mathematics

6th - 8th Grade

Practice Problem

Hard

CCSS
8.G.C.9, 7.G.B.4, HSG.GMD.A.3

Standards-aligned

Created by

Ethan Morris

FREE Resource

Standards-aligned

CCSS.8.G.C.9
,
CCSS.7.G.B.4
,
CCSS.HSG.GMD.A.3
This video tutorial covers the concepts of spheres, including their surface area and volume. It explains the properties of spheres, how they relate to circles, and provides formulas for calculating surface area and volume. The video includes examples to demonstrate these calculations, emphasizing the importance of using the correct formulas and understanding the role of the radius in these calculations.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the shape defined as all points equidistant from a center point in three dimensions?

Cube

Sphere

Cylinder

Cone

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for the surface area of a sphere?

2πr^2

6πr^2

πr^2

4πr^2

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the diameter of a sphere is 14 inches, what is its radius?

3.5 inches

14 inches

28 inches

7 inches

Tags

CCSS.7.G.B.4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the surface area of a sphere with a radius of 7 inches?

196π

49π

392π

28π

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the surface area of a sphere is given as 100π square meters, what is the radius?

25 meters

20 meters

10 meters

5 meters

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the correct way to express the surface area of a sphere in terms of π?

Multiply the result by π

Add π to the result

Subtract π from the result

Divide the result by π

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the volume formula for a sphere?

πr^3

3/2πr^3

2/3πr^3

4/3πr^3

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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