CW: Volume of Spheres

Presentation

•

Mathematics

•

8th Grade

•

Hard

•

CCSS

8.G.C.9, 8.EE.A.2, HSG.GMD.A.3

Standards-aligned

Jed Snyder

Used 25+ times

FREE Resource

8 Slides • 12 Questions

Volume Of Spheres

V = 4/3 * π * R³

WHAT'S THE SAME?

V = 4/3 * π * R³
Still got π 😋
You still need the RADIUS. 😁
You still don't need the DIAMETER. 🗑
To find the radius, divide the diameter by 2 ✂️

WHAT'S DIFFERENT?

V = 4/3 * π * R³
Bigger shape, bigger fraction: use 4/3 not 1/3 🌕
The radius is CUBED (NOT SQUARED.) 💪💪💪
No HEIGHT. 🙈

HOW DO I TYPE ⁴/₃ IN MY CALCULATOR?

Use the division symbol - just type 4 ÷ 3

Multiple Choice

^[Q1] V = 4/3 * π * R³

^{Besides the 4 ÷ 3, every other part of the equation is ________.}

added together

multiplied together

glued together

WHERE THE "H" DID YOU GO??!

V = 4/3 * π * R³?
Since a sphere's LENGTH, WIDTH, and HEIGHT are exactly the same, no matter how you turn it, the height gets replaced with another radius.
That's why the radius is CUBED instead of squared.

VOLUME FORMULAS

SPHERE: 4/3 * π * r³
CYLINDER: π * r² * h
CONE: 1/3 * π * r² * h

Multiple Choice

^[Q2] Which equation DOES NOT USE HEIGHT (H)?

The equation for

VOLUME OF A SPHERE

The equation for

VOLUME OF A CYLINDER

The equation for

VOLUME OF A CONE

None of these equations uses height.

Multiple Choice

^[Q3] When comparing the volume equations for a cylinder, a cone, and a sphere - the SPHERE'S EQUATION is the only one that has...

👀

a fraction in front

R³

radius cubed

🚫🍰

no π in it

H²

height squared

HOW DO I TYPE "CUBED"

IN MY CALCULATOR?

Use the ^ symbol - If the radius is 8, type 8^ 3

Fill in the Blanks

Type answer...

VOLUME FORMULAS

SPHERE: 4/3 * π * r³
CYLINDER: π * r² * h
CONE: 1/3 * π * r² * h

Multiple Choice

^[Q5] Tom's soccer ball is 8.5 inches tall, has a radius of 4.25 inches, and measures 26.7 inches all the way around its circumference.

WHICH NUMBER IS ACTUALLY USED TO FIND THE BALL'S VOLUME?

all of them

8.5

4.25

26.7

Fill in the Blanks

Type answer...

Multiple Choice

^[Q7] When my wife was pregnant🤰🏽, I measured her stomach which was 22 inches across. (I'm not stupid - I waited until she was sleeping!) Then I did the math to find out how much room was inside her big ol' belly!😂

VOLUME = 4/3 * π * 11³ = 5,575.28 cubic inches

WHY WASN'T THE 22 USED?

because her stomach was cone shaped

because the math is wrong

because it's the diameter

because 11³ is the same thing as 22

Fill in the Blanks

Type answer...

Fill in the Blanks

Type answer...

Fill in the Blanks

Type answer...

Fill in the Blanks

Type answer...

Fill in the Blanks

Type answer...

Volume Of Spheres

V = 4/3 * π * R³

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