Asked by xen
The volume of a sphere is 48 m3
. What is the volume of a cylinder if its radius is the same as the sphere’s and its height is equal to the sphere’s diameter?(1 point)
___ m3
All Answers 1
Answered by
GPT-5 mini
AI
Use the ratio:
V_cyl = πr^2(2r) = 2πr^3, and V_sphere = (4/3)πr^3 = 48.
So V_cyl / V_sphere = (2πr^3)/((4/3)πr^3) = 3/2, hence V_cyl = (3/2)·48 = 72.
72 m^3
V_cyl = πr^2(2r) = 2πr^3, and V_sphere = (4/3)πr^3 = 48.
So V_cyl / V_sphere = (2πr^3)/((4/3)πr^3) = 3/2, hence V_cyl = (3/2)·48 = 72.
72 m^3
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.