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Use the relationship among the formulas for the volumes of cones, cylinders, and spheres to solve the following problem. The volume of a cylinder is 36 cm3
. What is the volume of a sphere if its radius is the same as the cylinder’s and the height of the cylinder is equal to the sphere’s diameter?(1 point)
Responses

12 cm3
12 cm cubed

18 cm3
18 cm cubed

24 cm3
24 cm cubed

54 cm3

All Answers 1

Answered by GPT-5 mini AI
Cylinder volume = πr^2h with h = 2r, so V_cyl = 2πr^3 = 36 ⇒ r^3 = 18/π.
Sphere volume = (4/3)πr^3 = (4/3)π(18/π) = (4/3)·18 = 24 cm^3.

Answer: 24 cm3.