Question

13. A cone with a radius of 3 inches and a height of 7 inches has the same radius as a cylinder. If the cylinder's volume is two times the volume of the cone, what is the height of the cylinder? Use 3.14 for pi​

Answer 1

Answer:

Step-by-step explanation:

r = 3 in

h = 7 in

volume of cone = ⅓πr²h = 21π in³

cylinder has radius r = 3 and height h.

volume of cylinder = πr²h = 9πh in³

volume of cylinder is two times the volume of cone

9πh = 2×21π

9h = 42

h = 42/9 = 4⅔ in