SOLUTION: A cone has a volume of 125π cubic units. It has a radius of 2x-5 units and a height of 3x units. What is the radius of the cone?
Algebra.Com
Question 1171346: A cone has a volume of 125π cubic units. It has a radius of 2x-5 units and a height of 3x units. What is the radius of the cone?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
That's going to give you a cubic equation that you will need to solve....
So let's guess that the answer is a "nice" number.
125 = 5*5*5 gives us a clue; and a bit of easy mental arithmetic shows the solution is x=5.
ANSWER: The radius is 2x-5 = 5 units.
RELATED QUESTIONS
A right circular cone has a base radius of 2x-5 and a height of 3x. The cone has a volume (answered by ankor@dixie-net.com)
Find the number of cubic units in the volume of a frustum of a right circular cone if the (answered by robertb)
An oblique cylinder has a radius of 10 units and slant length of 26 units.
What is... (answered by ikleyn)
FAA REVIEW
27: What is the volume of a right cone with radius 3 and height 4? ___ (pi) (answered by vertciel)
What is the volume of a cone with a radius of 4.7 units and a height of 9.2 units? Use... (answered by Alan3354)
A cone has a base radius of 3x units and a height of 4x units. The surface area of the... (answered by rothauserc)
A cylinder has a radius of x + 2 units and a height of 3 units greater. What is the... (answered by ikleyn)
What is the height of a right cylinder with radius 4 and volume 96(pi) cubic units?
(answered by vertciel)
A right cylinder has a radius of 8 units and a height of 14 units What is its surface... (answered by mananth)