Common Core: High School - Geometry : Circumference and Area of a Circle, Volume of a Cylinder, Pyramid, and Cone Formulas: CCSS.Math.Content.HSG-GMD.A.1

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

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Example Questions

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Example Question #1 : Circumference And Area Of A Circle, Volume Of A Cylinder, Pyramid, And Cone Formulas: Ccss.Math.Content.Hsg Gmd.A.1

If a circle has a circumference of  what is the radius?

Possible Answers:

Correct answer:

Explanation:

In order to find the radius of a circle, we need to recall the equation that involves both the radius and circumference.

Since we are given the circumference, we simply substitute 33 for , and solve for .

Divide by  on each side to get

Thus the radius is

Example Question #2 : Circumference And Area Of A Circle, Volume Of A Cylinder, Pyramid, And Cone Formulas: Ccss.Math.Content.Hsg Gmd.A.1

If a cylinder has a radius of  and a height of  what is the volume?

Possible Answers:

Correct answer:

Explanation:

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

Since we are given the radius, and the height, we can simply plug in those values into the equation.

 

Thus the volume is

Example Question #3 : Circumference And Area Of A Circle, Volume Of A Cylinder, Pyramid, And Cone Formulas: Ccss.Math.Content.Hsg Gmd.A.1

If a cylinder has a radius of  and a height of  what is the volume?

Possible Answers:

Correct answer:

Explanation:

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

Since we are given the radius, and the height, we can simply plug in those values into the equation.

Thus the volume is

 

Example Question #4 : Circumference And Area Of A Circle, Volume Of A Cylinder, Pyramid, And Cone Formulas: Ccss.Math.Content.Hsg Gmd.A.1

If a cylinder has a radius of  and a height of  what is the volume?

Possible Answers:

Correct answer:

Explanation:

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

Since we are given the radius, and the height, we can simply plug in those values into the equation.

Thus the volume is

Example Question #2 : Circumference And Area Of A Circle, Volume Of A Cylinder, Pyramid, And Cone Formulas: Ccss.Math.Content.Hsg Gmd.A.1

If a cylinder has a volume of  and a radius of  what is the height?

Possible Answers:






Correct answer:


Explanation:

In order to find the height, we need to recall the equation for the volume of a cylinder.

Since we are given the volume, and the radius, we can simply plug in those values into the equation.

Thus the height is

Example Question #6 : Circumference And Area Of A Circle, Volume Of A Cylinder, Pyramid, And Cone Formulas: Ccss.Math.Content.Hsg Gmd.A.1

If a cone has a radius of  and a height of  what is the volume?

Possible Answers:


Correct answer:
Explanation:

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

Since we are given the radius, and the height, we can simply plug in those values into the equation.


Thus the volume is 

Example Question #7 : Circumference And Area Of A Circle, Volume Of A Cylinder, Pyramid, And Cone Formulas: Ccss.Math.Content.Hsg Gmd.A.1

If a cone has a volume of  and a radius of  what is the height?

Possible Answers:


Correct answer:

Explanation:

In order to find the height, we need to recall the equation for the volume of a cone.


Since we are given the volume, and the radius, we can simply plug in those values into the equation.

Thus the height is

 

Example Question #8 : Circumference And Area Of A Circle, Volume Of A Cylinder, Pyramid, And Cone Formulas: Ccss.Math.Content.Hsg Gmd.A.1

If a pyramid has a base width of  a base length of  and a volume of  what is the height?

Possible Answers:

Correct answer:

Explanation:

In order to find the height, we need to recall the equation for the volume of a pyramid,

Since we are given the length, width, and volume, we can simply plug those values into the equation.

Now we solve for .

Thus the height is

Example Question #9 : Circumference And Area Of A Circle, Volume Of A Cylinder, Pyramid, And Cone Formulas: Ccss.Math.Content.Hsg Gmd.A.1

If a cylinder has a volume of  and a radius of  what is the height?

Possible Answers:

Correct answer:

Explanation:

In order to find the height, we need to recall the equation for the volume of a cylinder.

Since we are given the volume, and the radius, we can simply plug in those values into the equation.

Thus the height is

 

Example Question #10 : Circumference And Area Of A Circle, Volume Of A Cylinder, Pyramid, And Cone Formulas: Ccss.Math.Content.Hsg Gmd.A.1

If a cylinder has a volume of  and a radius of  what is the height?

Possible Answers:
Correct answer:
Explanation:

In order to find the height, we need to recall the equation for the volume of a cylinder.

Since we are given the volume, and the radius, we can simply plug in those values into the equation.  

Thus the height is

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