The volume of a cone with a height of 10 meters is 20 pi cubic meters. what is the diameter of the cone?

2√6 m

Step-by-step explanation:

The formula for the vol. of a cone is V = (1/3)(area of base)(height).

Here, V = 20π m³ = (1/3)(area of the base)(10 m)

We need to solve for (area of the base).

Multiplying both sides of this equation by (3/10) results in:

(3/10)(20 π m³) = (area of the base)

This simplifies to 6π m² = (area of the base)

We still must find the diameter of the base.  Let's find the radius of the base first:      The formula for the area of a circle is A = πr².  Here we have 6π m² = πr², which tells us that r² = 6 m².  Since d = 2r, and r = d/2, r² = d²/4.     Then the equation 6 m² = r²  becomes:

6 m² = d²/4.

Solve this for d.   Multiplying both sides by 4, we get:

24 m² = d²2, and d = √(24 m²) = 2√6 m  

The cone diameter is 2√6 m.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

mxb67

step-by-step explanation: