an oblique cone has a height that is 12 centimeters more than the radius (r) of its base. which formula can be used to determine the volume, in cubic centimeters, of the cone? 3 of 7 questions

Question

Accepted Answer

# Explanation:
## Step1: Recall the volume formula of a cone
The volume formula of a cone is $V=\frac{1}{3}\pi r^{2}h$, where $r$ is the radius of the base and $h$ is the height.
## Step2: Express the height in terms of the radius
Given that $h=r + 12$.
## Step3: Substitute $h=r + 12$ into the volume formula
$$
\begin{align*}
V&=\frac{1}{3}\pi r^{2}(r + 12)\
&=\frac{1}{3}\pi r^{3}+4\pi r^{2}
\end{align*}
$$

# Answer:
$\frac{1}{3}\pi r^{3}+4\pi r^{2}$ (the first option)

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Question

Explanation:

Step1: Recall the volume formula of a cone

Step2: Express the height in terms of the radius

Step3: Substitute \(h=r + 12\) into the volume formula

Answer: