SOLUTION: Find the volume of ice cream in the cone [picture of cone with 6-cm. diameter opening and 11-cm. height] if the entire cone is filled. (The dome on the top is half of a sphere.) R

Question 897869: Find the volume of ice cream in the cone [picture of cone with 6-cm. diameter opening and 11-cm. height] if the entire cone is filled. (The dome on the top is half of a sphere.) Round your answer to the hundredths place.
I found the numeric answer the answer key gave (160.14), but not the cm. cubed that is part of the answer. I used the formulas for a cone [V=1/3(3.14)(r squared)(h)] and a sphere [V=4/3(3.14)(r cubed)] and added the results (minus half the sphere), but I didn't think you could add cm. squared and cm. cubed together.
Found 2 solutions by ankor@dixie-net.com, KMST:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Find the volume of ice cream in the cone [picture of cone with 6-cm. diameter opening and 11-cm. height] if the entire cone is filled. (The dome on the top is half of a sphere.) Round your answer to the hundredths place.
:
Let's see what I get
:
Find the volume of the cone
V =
V = 103.67 cu/cm
Find the vol of the half sphere
V =
V = 56.55 cu/cm
:
Total: 103.67 + 56.55 = 160.22 cu/cm (I used pi on the calc, hence slightly more)
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
You are using lengths in cm to calculate volumes in cubic centimeters.
Then, you are adding two volumes in cubic centimeters to get a total volume in cubic centimeters.
When you calculate for the volume of the cone,
and are in cm,
and you are multiplying 3 measurements in cm,
so and come out in (cubic centimeters).
For the volume of the half sphere, is also in .
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