Respuesta :

Since we know the volume and the radius we can solve for height. 

h = V/πr²

h = 287.7/(3.14)(5)²
h = 287.7/78.5
h = 3.66 in

So the height is D. 3.6 in

Hope this helps :)
Hello!

You can use the equation to find the volume to find the height

The equation is

V = [tex] \pi r^{2} h[/tex]

V is volume
r is radius
h is height

Put in the values you know

282.7 = [tex] \pi 5^{2} h[/tex]

We can substitute 3.14 for pi

282.7 = 3.14 * 5^2 * h

Square the 5

282.7 = 3.14 * 25 * h

Multiply 3.14 and 25

282.7 = 78.5h

Divide both sides by 78.5

3.6 = h

The answer is D) 3.6

Hope this helps!