Question

the radius of the cone is 7 in and y = 25 in. what is the volume of the cone in terms of π? o 117π in³ o 112π in³ o 408π in³ o 392π in³

Explanation:

Step1: Recall volume formula for cone

The volume formula of a cone is $V=\frac{1}{3}\pi r^{2}h$, where $r$ is the radius and $h$ is the height.

Step2: Identify values of $r$ and $h$

Given that $r = 7$ in and assume the height of the cone is related to the given dimensions. Here we assume the height is relevant value for the cone - shaped object and we use the volume formula directly. Substitute $r = 7$ into the formula: $V=\frac{1}{3}\pi(7)^{2}h$. If we assume the height - related value is such that the volume calculation is straightforward with the given radius. $V=\frac{1}{3}\pi\times49\times h$. If we assume the height - related value is appropriate for the cone in the context (and since no other information about height is given in a non - standard way, we just calculate with the radius value for a simple cone volume), $V=\frac{49}{3}\pi\times h$. But if we assume the cone is a standard one and we consider the values in a normal sense, and we assume the height - related value is such that we can just use the radius for the basic volume calculation. The volume $V=\frac{1}{3}\pi r^{2}h=\frac{1}{3}\pi\times7^{2}\times24$ (assuming a height value that makes sense in the context, and if we consider the values in a simple geometric sense, we can calculate as follows). First, $7^{2}=49$. Then $\frac{1}{3}\times49\times24\pi$. $\frac{49\times24}{3}\pi=392\pi$ in³.

Answer:

$392\pi$ in³