QUESTION IMAGE
Question
d = 11, 12 (related to a cone diagram)
Assuming we need to find the volume of the cone. The formula for the volume of a cone is \( V=\frac{1}{3}\pi r^{2}h \).
Step1: Find the radius \( r \)
Given the diameter \( d = 11 \), the radius \( r=\frac{d}{2}=\frac{11}{2} = 5.5 \)
Step2: Identify the height \( h \)
From the diagram, the height \( h = 12 \)
Step3: Calculate the volume
Substitute \( r = 5.5 \) and \( h=12 \) into the volume formula:
\( V=\frac{1}{3}\pi(5.5)^{2}(12) \)
First, calculate \( (5.5)^{2}=30.25 \)
Then, \( \frac{1}{3}\times12 = 4 \)
So, \( V = 4\times\pi\times30.25=121\pi\approx 121\times 3.14 = 380.13 \)
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
If we take \( \pi\approx3.14 \), the volume is approximately \( 380.13 \) (or \( 121\pi \) in exact form)