QUESTION IMAGE
Question
level
instructions: find the volume of each cone. please use $pi \approx 3.14$. type your
5
a party hat is shaped like a cone.
the hat is 18 cm tall and has a
diameter of 14 cm. find the
volume of the party hat in cubic
centimeters.
1 47.1
2 b
3 9.42
4 0.785
5
6
Step1: Calculate radius from diameter
The diameter is 14 cm, so radius $r = \frac{14}{2} = 7$ cm.
Step2: Recall cone volume formula
The volume of a cone is $V = \frac{1}{3}\pi r^2 h$.
Step3: Substitute values into formula
Substitute $r=7$, $h=18$, $\pi=3.14$:
$$V = \frac{1}{3} \times 3.14 \times 7^2 \times 18$$
Step4: Compute step-by-step
First calculate $7^2=49$, then $49 \times 18=882$, next $\frac{1}{3} \times 882=294$, finally $294 \times 3.14=923.16$.
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
923.16 cubic centimeters