Question

calculator
what is the exact volume of the cone?
$28\pi$ in³
$\frac{56}{3}\pi$ in³
$\frac{196}{3}\pi$ in³
$196\pi$ in³

Explanation:

Step1: Recall cone volume formula

$V = \frac{1}{3}\pi r^2 h$

Step2: Substitute r=7, h=4

$V = \frac{1}{3}\pi (7)^2 (4)$

Step3: Calculate the squared term

$V = \frac{1}{3}\pi (49)(4)$

Step4: Compute the product

$V = \frac{196}{3}\pi$

Answer:

$\frac{196}{3}\pi$ in³ (Option C: $\boldsymbol{\frac{196}{3}\pi\ in^3}$)