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
1 answer:
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
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