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.

6,250

step-by-step explanation:

to get the area, multiply 360 by 160.(57,600)

to find out how many bags of fertilizer it will take, first figure out how many square feet one bag can hold. divide 1000 by 8(125) to get the unit rate(how many square feet one pound of fertilizer can hold)and multiply it by 50(6250). if i haven't made a mistake, that is the answer.

18.75 gallons

step-by-step explanation: