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Common Core: High School - Geometry : Cavalieri's Principle: CCSS.Math.Content.HSG-GMD.A.2

Study concepts, example questions & explanations for Common Core: High School - Geometry

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All Common Core: High School - Geometry Resources

6 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Cavalieri's Principle: Ccss.Math.Content.Hsg Gmd.A.2

Find the volume of a sphere with radius 344 . Round your answer to the nearest hundredth.

Possible Answers:

85257764.56

40707584

54276778.67

27138389.33

170515529.12

Correct answer:

170515529.12

Explanation:

In order to find the volume of a sphere, we need to recall the volume of a sphere equation.

$V = \frac{4 \pi}{3} r^{3}$

We simply plug in 344 for $\uptext{r}$ .

$V=\frac{4}{3}\cdot\pi\cdot ( 344 )^3$

V= 170515529.1197192

Now we round our answer to the nearest hundredth.

V= 170515529.12

Report an Error

Example Question #2 : Cavalieri's Principle: Ccss.Math.Content.Hsg Gmd.A.2

Find the volume of a sphere with radius 399 . Round your answer to the nearest hundredth.

Possible Answers:

133038488.08

84694932.0

266076976.17

42347466.0

63521199

Correct answer:

266076976.17

Explanation:

In order to find the volume of a sphere, we need to recall the volume of a sphere equation.

$V = \frac{4 \pi}{3} r^{3}$

We simply plug in 399 for $\uptext{r}$ .

$V=\frac{4}{3}\cdot\pi\cdot ( 399 )^3$

V= 266076976.16748706

Now we round our answer to the nearest hundredth.

V= 266076976.17

Report an Error

Example Question #1 : Cavalieri's Principle: Ccss.Math.Content.Hsg Gmd.A.2

Find the volume of a sphere with radius . Round your answer to the nearest hundredth.

Possible Answers:

1684641.36

536238.0

1072476.0

3369282.72

804357

Correct answer:

3369282.72

Explanation:

In order to find the volume of a sphere, we need to recall the volume of a sphere equation.

$V = \frac{4 \pi}{3} r^{3}$

We simply plug in for $\uptext{r}$ .

$V=\frac{4}{3}\cdot\pi\cdot ( 93 )^3$

V= 3369282.722751367

Now we round our answer to the nearest hundredth.

V= 3369282.72

Report an Error

Example Question #2 : Cavalieri's Principle: Ccss.Math.Content.Hsg Gmd.A.2

Find the volume of a hemisphere with radius 495 . Round your answer to the nearest hundredth.

Possible Answers:

161716500.0

121287375

254023684.18

508047368.36

80858250.0

Correct answer:

254023684.18

Explanation:

In order to find the volume of a hemisphere, we need to recall the volume of a hemisphere equation.

$V = \frac{2 \pi}{3} r^{3}$

We simply plug in 495 for $\uptext{r}$ .

$V=\frac{2}{3}\cdot\pi\cdot ( 495 )^3$

V= 254023684.18212688

Now we round our answer to the nearest hundredth.

V= 254023684.18

Report an Error

Example Question #3 : Cavalieri's Principle: Ccss.Math.Content.Hsg Gmd.A.2

Find the volume of a sphere with radius 188 . Round your answer to the nearest hundredth.

Possible Answers:

27833136.99

13916568.49

8859562.67

6644672

4429781.33

Correct answer:

27833136.99

Explanation:

In order to find the volume of a sphere, we need to recall the volume of a sphere equation.

$V = \frac{4 \pi}{3} r^{3}$

We simply plug in 188 for $\uptext{r}$ .
$V=\frac{4}{3}\cdot\pi\cdot ( 188 )^3$

V= 27833136.987618394

Now we round our answer to the nearest hundredth.

V= 27833136.99

Report an Error

Example Question #2 : Cavalieri's Principle: Ccss.Math.Content.Hsg Gmd.A.2

Find the volume of a hemisphere with radius 347 . Round your answer to the nearest hundredth.

Possible Answers:

55709230.67

87507854.9

175015709.8

41781923

27854615.33

Correct answer:

87507854.9

Explanation:

In order to find the volume of a hemisphere, we need to recall the volume of a hemisphere equation.

$V = \frac{2 \pi}{3} r^{3}$

We simply plug in 347 for $\uptext{r}$ .

$V=\frac{2}{3}\cdot\pi\cdot ( 347 )^3$

V= 87507854.8997696

Now we round our answer to the nearest hundredth.

V= 87507854.9

Report an Error

Example Question #6 : Cavalieri's Principle: Ccss.Math.Content.Hsg Gmd.A.2

Find the volume of a sphere with radius 224 . Round your answer to the nearest hundredth.

Possible Answers:

14985898.67

7492949.33

11239424

47079589.16

23539794.58

Correct answer:

47079589.16

Explanation:

In order to find the volume of a sphere, we need to recall the volume of a sphere equation.

$V = \frac{4 \pi}{3} r^{3}$

We simply plug in 224 for $\uptext{r}$ .

$V=\frac{4}{3}\cdot\pi\cdot ( 224 )^3$

V= 47079589.15864107

Now we round our answer to the nearest hundredth.

V= 47079589.16

Report an Error

Example Question #7 : Cavalieri's Principle: Ccss.Math.Content.Hsg Gmd.A.2

Find the volume of a hemisphere with radius 163 . Round your answer to the nearest hundredth.

Possible Answers:

4330747

2887164.67

5774329.33

9070295.31

18140590.61

Correct answer:

9070295.31

Explanation:

In order to find the volume of a hemisphere, we need to recall the volume of a hemisphere equation.

$V = \frac{2 \pi}{3} r^{3}$

We simply plug in 163 for $\uptext{r}$ .

$V=\frac{2}{3}\cdot\pi\cdot ( 163 )^3$

V= 9070295.306504022

Now we round our answer to the nearest hundredth.

V= 9070295.31

Report an Error

Example Question #401 : High School: Geometry

Find the volume of a sphere with radius 409 . Round your answer to the nearest hundredth.

Possible Answers:

91223905.33

45611952.67

68417929

286588350.83

143294175.41

Correct answer:

286588350.83

Explanation:

In order to find the volume of a sphere, we need to recall the volume of a sphere equation.

$V = \frac{4 \pi}{3} r^{3}$
We simply plug in 409 for $\uptext{r}$ .

$V=\frac{4}{3}\cdot\pi\cdot ( 409 )^3$

V= 286588350.82697076

Now we round our answer to the nearest hundredth.

V= 286588350.83

Report an Error

Example Question #401 : High School: Geometry

Find the volume of a hemisphere with radius 464 . Round your answer to the nearest hundredth.

Possible Answers:

209224508.02

133196458.67

99897344

418449016.03

66598229.33

Correct answer:

209224508.02

Explanation:

In order to find the volume of a hemisphere, we need to recall the volume of a hemisphere equation.

$V = \frac{2 \pi}{3} r^{3}$

We simply plug in 464 for $\uptext{r}$ .

$V=\frac{2}{3}\cdot\pi\cdot ( 464 )^3$

V= 209224508.01568824

Now we round our answer to the nearest hundredth.

V= 209224508.02

Report an Error

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All Common Core: High School - Geometry Resources

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Common Core: High School - Geometry : Cavalieri's Principle: CCSS.Math.Content.HSG-GMD.A.2

Study concepts, example questions & explanations for Common Core: High School - Geometry

All Common Core: High School - Geometry Resources

Example Questions

Example Question #1 : Cavalieri's Principle: Ccss.Math.Content.Hsg Gmd.A.2

Example Question #2 : Cavalieri's Principle: Ccss.Math.Content.Hsg Gmd.A.2

Example Question #1 : Cavalieri's Principle: Ccss.Math.Content.Hsg Gmd.A.2

Example Question #2 : Cavalieri's Principle: Ccss.Math.Content.Hsg Gmd.A.2

Example Question #3 : Cavalieri's Principle: Ccss.Math.Content.Hsg Gmd.A.2

Example Question #2 : Cavalieri's Principle: Ccss.Math.Content.Hsg Gmd.A.2

Example Question #6 : Cavalieri's Principle: Ccss.Math.Content.Hsg Gmd.A.2

Example Question #7 : Cavalieri's Principle: Ccss.Math.Content.Hsg Gmd.A.2

Example Question #401 : High School: Geometry

Example Question #401 : High School: Geometry

All Common Core: High School - Geometry Resources

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