Which cone has a volume of 24 pi centimeters cubed? A cone with height of 3. 5 centimeters and B = 25 pi centimeters squared. A cone with height 6. 5 centimeters and radius 3 centimeters. A cone with height 4. 5 centimeters and diameter 8 centimeters. A cone with height 7. 5 centimeters and B = 4 pi centimeters squared.

Respuesta :

A cone with a height of 4.5 centimeters and a diameter of 8 centimeters squared has a volume of 24π. Then the correct option is C.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The volume of the cone is given as

[tex]\rm Volume = \dfrac{1}{3} \pi r^2 h = \dfrac{1}{12} \pi d^2 h = \dfrac{1}{3} * area \ of\ base \ circle*height[/tex]

1.  A cone with a height of 3.5 centimeters and B = 25 pi centimeters squared. Then the volume will be

[tex]\rm Volume = \dfrac{1}{3} *25* \pi *3.5 = 21.875 \ \pi[/tex]

2.  A cone with a height of 6.5 centimeters and a radius of 3 centimeters.  Then the volume will be

[tex]\rm Volume = \dfrac{1}{3} * \pi *3^2*6.5= 19.5 \ \pi[/tex]

3.  A cone with a height of 4.5 centimeters and a diameter of 8 centimeters. Then the volume will be

[tex]\rm Volume = \dfrac{1}{12} * \pi *8^2 *4.5= 24\ \pi[/tex]

4.  A cone with a height of 7.5 centimeters and B = 4 pi centimeters squared. Then the volume will be

[tex]\rm Volume = \dfrac{1}{3} *4* \pi *7.5= 10\ \pi[/tex]

A cone with a height of 4.5 centimeters and a diameter of 8 centimeters squared has a volume of 24π.

More about the geometry link is given below.

https://brainly.com/question/7558603

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