Question

Whats the Diameter? I really need help understanding this

Answer 1

1.8 in

Explanation:

we know the equation for the volume of a cone is pi*r^2 h/3=3.6

pi r^2 *4.2=10.8

solve for r

r is about 0.9 so diameter is 1.8 in

Answer 2

1.8 in.

Explanation:

Hi there!

1) Determine the radius of the base

`V=(1)/(3) \pi r^2h` where r is the radius of the base and h is the height of the cone

Plug in the known values (h=4.2, V=3.6)

`3.6=(1)/(3) \pi r^2(4.2)`

Isolate r; divide both sides by 4.2

`(3.6)/(4.2) =(1)/(3) \pi r^2\\(6)/(7) =(1)/(3) \pi r^2`

Multiply both sides by 3

`(6)/(7)*3 =\pi r^2\\(18)/(7)=\pi r^2`

Divide both sides by π

`(18)/(7\pi )=r^2`

Take the square root of both sides

`\sqrt{(18)/(7\pi )} =r`

2) Determine the diameter

Now that we have the radius, to find the diameter, multiply r by 2:

`d=\sqrt{(18)/(7\pi )}*2\\d=1.8`

Therefore, the diameter is 1.8 in. when rounded to the nearest tenth.

I hope this helps!