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Calculating the Radius of a Sphere from Volume

Calculating the Radius of a Sphere from Volume

Assessment

Interactive Video

Mathematics, Science

6th - 10th Grade

Practice Problem

Hard

CCSS
8.G.C.9, 2.MD.A.2, HSA.CED.A.4

+3

Standards-aligned

Created by

Liam Anderson

FREE Resource

Standards-aligned

CCSS.8.G.C.9
,
CCSS.2.MD.A.2
,
CCSS.HSA.CED.A.4
CCSS.3.MD.A.2
,
CCSS.4.MD.A.1
,
CCSS.HSG.GMD.A.3
,
This video tutorial explains how to calculate the radius of a sphere given its volume. It begins with an introduction to the problem and the relevant formula, which is derived step-by-step. The video then provides an example calculation using the formula, followed by a demonstration of converting the radius from feet to inches. Key concepts include understanding the formula for the volume of a sphere, manipulating equations to solve for the radius, and performing unit conversions.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary focus of this video tutorial?

Calculating the volume of a sphere

Learning about different geometric shapes

Finding the radius of a sphere given its volume

Understanding the properties of a circle

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula is used to relate the volume and radius of a sphere?

V = 4/3 π R^2

V = 4/3 π R^3

V = π R^2

V = 2 π R

Tags

CCSS.HSA.CED.A.4

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in rearranging the volume formula to solve for the radius?

Divide both sides by π

Multiply both sides by 3

Add 3 to both sides

Subtract 4 from both sides

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example calculation, what is the approximate radius of the sphere in centimeters?

5 cm

20 cm

10 cm

15 cm

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to use parentheses when calculating with pi in the formula?

To avoid using a calculator

To ensure the correct order of operations

To make the equation look neat

To simplify the equation

Tags

CCSS.3.MD.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the unit of volume given in the second example?

Cubic meters

Cubic inches

Cubic feet

Cubic centimeters

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the approximate radius of the sphere in feet in the second example?

4.5 feet

1.5 feet

2.5 feet

3.5 feet

Tags

CCSS.4.MD.A.1

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