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The volume of a cone is 300 cubic kilometers. If the radius of the base is 7 kilometers, what is the height of the cone? Use3.14 for raduis . Show your work and round to the nearest tenth.
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Asked 6/7/2012 1:08:03 PM
Updated 60 days ago|10/16/2025 6:49:49 AM
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User: The volume of a cone is 300 cubic kilometers. If the radius of the base is 7 kilometers, what is the height of the cone? Use3.14 for raduis . Show your work and round to the nearest tenth.

Weegy: v=1/3pir^2h so plug in radius and volume and you get 15=1/3pi(3)^2h and then you get 15=3pi and you divide 15 by 3 and get h=5pi
Expert answered|liner21|Points 20|

Question
Asked 6/7/2012 1:08:03 PM
Updated 60 days ago|10/16/2025 6:49:49 AM
1 Answer/Comment
This conversation has been flagged as incorrect.
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Formula:
V = (1/3) n r² h h = 3V / (n r²)
Compute r²
r² = 7² = 49
Compute n r²
n r² = 3.14 × 49 = 153.86
Compute 3V
3V = 3 × 300 = 900
Solve for h
h = 900 ÷ 153.86 = 5.849473547...
Round to the nearest tenth
h = 5.8 km
Answer: The height of the cone is approximately 5.8 km.
Added 60 days ago|10/16/2025 6:49:46 AM
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