Volume of Cones, Cylinders, and Spheres Quick Check

Question

Create an image demonstrating the geometric comparison of a cone and a sphere without textual elements. The sphere should have a diameter equal to the height of the cone, and both should share the same radius. Convey the mathematical concepts of volume calculation for a cone and a sphere subtly within the image. The materials should appear as if made fromt a transparent and ghostly material so we can perceive the dimensions within. The image should be educational, delivering a clear message about the relationship between the quantities and a visual representation of the complex geometrical question.

Volume of Cones, Cylinders, and Spheres Quick Check

3 of 53 of 5 Items
Question
The volume of a cone is 253 π cm3 . What is the volume of a sphere if its radius is the same as the cone’s and the height of the cone is equal to the sphere’s diameter?(1 point)
Responses

252 π cm3
Start Fraction 25 over 2 End Fraction pi cm cubed

256 π cm3
Start Fraction 25 over 6 End Fraction pi cm cubed

503 π cm3
Start Fraction 50 over 3 End Fraction pi cm cubed

25 π cm3

Answer 1

The correct answer is:

Start Fraction 25 over 2 End Fraction pi cm cubed