Question

The radius of a cylinder can be found using the formula r = v/3.14 x h , where V stands for the volume of the cylinder and h stands for the height. If r=7 and h=10, and pie is 3.14, find the volume (V).

Answer 1

Hello :)

Answer -

V = 2.198 cubic units

Step-by-step explanation -

Our task is to find the volume of the cylinder.

We're given the formula for its radius:

`\sf{r=\cfrac{V}{3.14}* h}`

We could rearrange it for V, the volume.

`\sf{r/ h = \cfrac{V}{3.14}}`

Now multiply both sides by 3.14.

`\sf{3.14*\cfrac{r}{h}=V}`

Now replace r with 7 and h with 10:

`\sf{3.14*\cfrac{7}{10}=V}`

`\sf{3.14*0.7=V}`

`\sf{2.198=V}`

Henceforth, the volume = 2.198 cubic units

Answer 2

`\huge\boxed{\sf v = 2.198 \ unit^3}`

Explanation:

Given equation:

`\displaystyle r = (v)/(3.14) * h`

Now,

Finding volume of the cylinder:

r = 7, h = 10

Put in the above equation.

`\displaystyle 7 = (v)/(3.14) * 10\\\\Multiply \ both \ sides \ by \ 3.14\\\\7 * 3.14 = v * 10\\\\21.98 = v * 10\\\\Divide \ both \ sides \ by \ 10\\\\(21.98)/(10) = v\\\\2.198 \ unit^3=v\\\\v = 2.198 \ unit^3\\\\\rule[225]{225}{2}`