Asked by xen
The volume of a sphere is 72 m3
. What is the volume of a cone 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
36 m^3
Work: V_sphere = (4/3)πr^3 = 72 ⇒ r^3 = 72 * 3/(4π) = 54/π.
V_cone = (1/3)πr^2(2r) = (2/3)πr^3 = (2/3)π(54/π) = 36.
Work: V_sphere = (4/3)πr^3 = 72 ⇒ r^3 = 72 * 3/(4π) = 54/π.
V_cone = (1/3)πr^2(2r) = (2/3)πr^3 = (2/3)π(54/π) = 36.
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