Question

level 3
instructions: find the volume of each cone. please use $pi \approx 3.14$. type your answers in the boxes and
1
2
jenifer decided to find the volume
of a cone. she drew and labeled
the diagram below. which equation
can help her find the volume?
a $v=\frac{1}{3}\pi(12)^2(8)$
b $v=\frac{1}{3}\pi(4)^2(12)$
c $v=\frac{1}{3}\pi(12)^2(4)$
d $v=\frac{1}{3}\pi(8)^2(12)$

Explanation:

Step1: Recall cone volume formula

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

Step2: Identify radius and height

The diagram shows diameter = 8 m, so $r=\frac{8}{2}=4$ m; height $h=12$ m.

Step3: Substitute values into formula

Substitute $r=4$, $h=12$ into the volume formula: $V=\frac{1}{3}\pi(4)^2(12)$

Answer:

B. $V=\frac{1}{3}\pi(4)^2(12)$