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netineya
2 months ago
10

A cone has a volume of about 28 cubic inches. Which are possible dimensions for the cone?

Mathematics
1 answer:
tester [12.3K]2 months ago
8 0
The volume, V of a cone is calculated using the formula V = (1/3)*π*(radius)^2 * height. This indicates that there are two variables involved: radius and height, resulting in multiple radius and height combinations producing the same volume. Therefore, the question lacks certain details. In my research, I came across a list of options for answers: a) radius 6 inches, height 3 inches b) diameter 6 inches, height 3 inches c) diameter 4 inches, height 6 inches d) diameter 6 inches, height 6 inches. Now, you can evaluate these options to determine which configuration results in a volume of roughly 28 cubic inches. a) with a radius of 6 in and height of 3 in yields V = (1/3)*3.14*(6in)^2 * 3in = 113.04 in^3, which is not feasible. b) with a diameter of 6 in and a height of 3 in, implies a radius of 3 in, which results in V = (1/3)*3.14*(3in)^2 * 3in = 28.26 in^3, making this the suitable choice. The other alternatives do not come close to matching the 28 in^3 volume target. The correct response is: diameter 6 inches, height 3 inches.
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