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.
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