Volume of a cone

Authored by Wan Lo

Mathematics

7th - 9th Grade

CCSS covered

Used 6+ times

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the volume of a cone?

$\frac{2}{3}\pi rh$

$\frac{1}{3}\pi r^2h$

$\pi r^2h$

$\frac{1}{3}\pi rh$

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

FILL IN THE BLANKS QUESTION

2 mins • 1 pt

Find the volume of this cone.
(All measurements are in cm)
Type in all the digits shown in your calculator.
NO need units

(a)

Answer explanation

$\frac{1}{3}\times3.142\times7^2\times18=923.748$

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

FILL IN THE BLANKS QUESTION

2 mins • 1 pt

Find the volume of this cone.
Use $\pi=3.142$ .

No need units.
Type all the digits in your calculator.

(a)

Answer explanation

$\frac{1}{3}\times3.142\times3^2\times12=113.112$

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

FILL IN THE BLANKS QUESTION

2 mins • 1 pt

Find the volume of this cone.
Use $\pi=3.142$ .

No need units.
Type all the digits in your calculator.

(a)

Answer explanation

$\frac{1}{3}\times3.142\times8^2\times18=1206.528$

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

FILL IN THE BLANKS QUESTION

2 mins • 1 pt

Find the volume of this cone.
Use $\pi=3.142$ .

No need units.
Type all the digits in your calculator.

(a)

Answer explanation

$\frac{1}{3}\times3.142\times18^2\times28=9501.408$

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

FILL IN THE BLANKS QUESTION

2 mins • 1 pt

Find the volume of this cone.
Use $\pi=3.142$ .

No need units.
Type all the digits in your calculator.

(a)

Answer explanation

$\frac{1}{3}\times3.142\times5^2\times9=235.65$

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

FILL IN THE BLANKS QUESTION

2 mins • 1 pt

Find the volume of this cone.
Use $\pi=3.142$ .

No need units.
Type all the digits in your calculator.

(a)

Answer explanation

$\frac{1}{3}\times3.142\times5.7^2\times12=408.33432$

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

FILL IN THE BLANKS QUESTION

5 mins • 1 pt

Find the total volume of this solid.

Use $\pi=3.142$

(a)

Answer explanation

$\frac{1}{3}\times3.142\times3^2\times8=75.408$ (Cone)
$3.142\times3^2\times7=197.946$ (cylinder)
$75.408+197.946=273.354$ (total)

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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Volume of a cone

What is the volume of a cone?

Find the volume of this cone. (All measurements are in cm)Type in all the digits shown in your calculator.NO need units (a)

13×3.142×72×18=923.748\frac{1}{3}\times3.142\times7^2\times18=923.74831​×3.142×72×18=923.748

Find the volume of this cone.Use π=3.142\pi=3.142π=3.142 .No need units.Type all the digits in your calculator. (a)

13×3.142×32×12=113.112\frac{1}{3}\times3.142\times3^2\times12=113.11231​×3.142×32×12=113.112

Find the volume of this cone.Use π=3.142\pi=3.142π=3.142 .No need units.Type all the digits in your calculator. (a)

13×3.142×82×18=1206.528\frac{1}{3}\times3.142\times8^2\times18=1206.52831​×3.142×82×18=1206.528

Find the volume of this cone.Use π=3.142\pi=3.142π=3.142 .No need units.Type all the digits in your calculator. (a)

13×3.142×182×28=9501.408\frac{1}{3}\times3.142\times18^2\times28=9501.40831​×3.142×182×28=9501.408

Find the volume of this cone.Use π=3.142\pi=3.142π=3.142 .No need units.Type all the digits in your calculator. (a)

13×3.142×52×9=235.65\frac{1}{3}\times3.142\times5^2\times9=235.6531​×3.142×52×9=235.65

Find the volume of this cone.Use π=3.142\pi=3.142π=3.142 .No need units.Type all the digits in your calculator. (a)

13×3.142×5.72×12=408.33432\frac{1}{3}\times3.142\times5.7^2\times12=408.3343231​×3.142×5.72×12=408.33432

What are the two solids that make up this solid?

Find the total volume of this solid. Use π=3.142\pi=3.142π=3.142 (a)

13×3.142×32×8=75.408\frac{1}{3}\times3.142\times3^2\times8=75.40831​×3.142×32×8=75.408 (Cone) 3.142×32×7=197.9463.142\times3^2\times7=197.9463.142×32×7=197.946 (cylinder) 75.408+197.946=273.35475.408+197.946=273.35475.408+197.946=273.354 (total)

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Find the volume of this cone.
(All measurements are in cm)
Type in all the digits shown in your calculator.
NO need units

(a)

$\frac{1}{3}\times3.142\times7^2\times18=923.748$

Find the volume of this cone.
Use $\pi=3.142$ .

No need units.
Type all the digits in your calculator.

(a)

$\frac{1}{3}\times3.142\times3^2\times12=113.112$

Find the volume of this cone.
Use $\pi=3.142$ .

No need units.
Type all the digits in your calculator.

(a)

$\frac{1}{3}\times3.142\times8^2\times18=1206.528$

Find the volume of this cone.
Use $\pi=3.142$ .

No need units.
Type all the digits in your calculator.

(a)

$\frac{1}{3}\times3.142\times18^2\times28=9501.408$

Find the volume of this cone.
Use $\pi=3.142$ .

No need units.
Type all the digits in your calculator.

(a)

$\frac{1}{3}\times3.142\times5^2\times9=235.65$

Find the volume of this cone.
Use $\pi=3.142$ .

No need units.
Type all the digits in your calculator.

(a)

$\frac{1}{3}\times3.142\times5.7^2\times12=408.33432$

Find the total volume of this solid.

Use $\pi=3.142$

(a)

$\frac{1}{3}\times3.142\times3^2\times8=75.408$ (Cone)
$3.142\times3^2\times7=197.946$ (cylinder)
$75.408+197.946=273.354$ (total)