SOLUTION: i need to make a cone but i only have the volume which is 500 centimeters cube and i need to find the Theda, height and i think that the radios is 477046 what i did was times 500 b

Question 305563: i need to make a cone but i only have the volume which is 500 centimeters cube and i need to find the Theda, height and i think that the radios is 477046 what i did was times 500 by 3 and divided by pie since the formula im using is 500=1/3pier X R square X height
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

So far, so good.

but there are an infinite number of combinations of different values of

and

such that

.

Then only thing you can do now is to fix one of the values and calculate the other.

For example, if you choose 10 for the radius, the height would come work out very close to 4.775

Or 5 for the radius gives you

-- not quite 20.

Or a height of 15 would give you a radius of

-- A little over 5 and a half.

Now if you want a specific angle between the cone generator and the axis, that is another story altogether. By the way, it is Theta, not "Theda"

Which is to say that

Which, combined with the earlier derivations leads us to:

John

RELATED QUESTIONS
I have to make a cone with a volume of 500 inches cubed. I have to find the radius of the (answered by Alan3354)

i need to find the altitude of the isoceles triangle. They gave me theda=52 degrees and... (answered by Alan3354)

Hello! The problem I have is that I need to "find the volume of a cone slant height of (answered by MathLover1)

The volume of a cone varies jointly as the height of the cone and the square of the... (answered by scott8148)

I have a cone with a base radius of 4cm and a height of 12cm. I need to find the volume,... (answered by Boreal)

The volume of this cone is 471 ft^3 and the height is 18 ft. I need to find the... (answered by rfer)

The Ice Cream Depot has two sizes of waffle cones. The small cone has a volume of... (answered by josgarithmetic)

the height of a cube is 3.5 centimeters how do i find the volume of the cube in cubic... (answered by josmiceli)

I need to make a spear head equal to that of Goliath in the Bible. We know it weighed... (answered by ankor@dixie-net.com)