QUESTION IMAGE
Question
level 3
instructions: find the volume of each cone. please use $pi \approx 3.14$. type your answers in the boxes a
4
a cone and its dimensions are shown in the diagram. find the volume of the cone in cubic feet.
1 47.1
2 b
3 9.42
4
5
6
Step1: Find cone radius
The diameter is 2 ft, so radius $r = \frac{2}{2} = 1$ ft.
Step2: Recall cone volume formula
Volume $V = \frac{1}{3}\pi r^2 h$
Step3: Substitute values ($\pi=3.14$, $r=1$, $h=\frac{3}{4}$)
$V = \frac{1}{3} \times 3.14 \times 1^2 \times \frac{3}{4}$
Step4: Simplify the expression
First, $\frac{1}{3} \times \frac{3}{4} = \frac{1}{4}$, so $V = 3.14 \times \frac{1}{4} = 0.785$
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0.785 cubic feet