An engineer wants to know the volume of the following object composed of a hemisphere and a cone She knows the height of the the diameter of the hemisphere, and the volume of the cone is 12m ^ 3 What is the volume of the whole object? (1 point)
To find the volume of the whole object, which is composed of a hemisphere and a cone, you would add the volume of each individual solid. You mentioned that you know the diameter of the hemisphere and the volume of the cone, but you haven't provided the diameter. I'll help you set up the equations, but you'll need to fill in the diameter measurement to get the final answer.
First, let's set up the formula for the volume of a hemisphere:
\[ V_{\text{hemisphere}} = \frac{2}{3} \pi r^3 \]
Since you know the diameter, you can find the radius \( r \) of the hemisphere by dividing the diameter by two. Let's assume the diameter \( d \) and the radius is \( r = \frac{d}{2} \).
Now, we have the volume of the cone given as 12m³:
\[ V_{\text{cone}} = 12 \, m^3 \]
Since V_cone is already given to us, we only need to calculate V_hemisphere with the diameter or radius that you provide.
Once you have V_hemisphere calculated, you simply add it to V_cone to get the total volume:
\[ V_{\text{total}} = V_{\text{hemisphere}} + V_{\text{cone}} \]
If you can provide the diameter of the hemisphere, I can help you with the exact calculations. Otherwise, this is the approach you would take to find the volume of the whole object.