9514 1404 393
Answer:
a. 50.27 ft³
b. 1/3
Step-by-step explanation:
a. The volume of the cone is given by the formula ...
V = 1/3πr²h
For the given dimensions, the volume is ...
V = (1/3)π(4 ft)²(3 ft) = 16π ft³ ≈ 50.27 ft³
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b. Recognizing that the cylinder's volume is given by the formula ...
V = πr²h
and that the radius and height are the same for both, the ratio of volumes is ...
(cone volume)/(cylinder volume) = (1/3πr²h)/(πr²h) = 1/3
The ratio of volumes is 1/3.
