A cylindrical jar's lid has a radius of 4 inches. If the volume is 351.68 in , approximately what is the height of the jar?

Respuesta :

Answer:

7 inches

Step-by-step explanation:

The volume of a cylinder is calculated using

[tex]V = \pi {r}^{2}h[/tex]

where r =4 inches is the radius and V=351.68 is the volume.

To find the height of the jar, we substitute these values and solve for h.

[tex]351.68 = 3.14 \times {4}^{2} \times h[/tex]

[tex]351.68 = 50.24h[/tex]

Divide both sides by 50.24 to get:

[tex]h = \frac{351.68}{50.24} [/tex]

h=7 inches

Therefore the height of the jar is 7 inches