Question

Find the volume of the cylinder. Enter the answer EXACTLY please, no rounding.

Answer 1

V≈1.25664×10^6

Explanation:

The formula for the volume of a cylinder is V=πr2h, so if you plug in the values for radius and height (V=πr2h=π·100^2·40), you get .25664×10^6)

Answer 2

The volume of cylinder is 314000 ft³.

Step-by-step explanation:

Solution :

Here we have given that :

• 
  `\pink\star` Height of cylinder = 40 ft
• 
  `\pink\star` Diameter of cylinder = 100 ft
• 
  `\pink\star` Radius of cylinder = 100/2 = 50 ft

We need to find the volume of cylinder.

Here's the required formula to find volume of cylinder :

`\longrightarrow{\pmb{\sf{Volume_((Cylinder))= \pi{r}^(2)h}}}`

• 
  `\blue\star` π = 3.14
• 
  `\blue\star` r = radius
• 
  `\blue\star` h = height

Substituting all the given values in the formula to find the volume of cylinder :

`\longrightarrow{\sf{Volume_((Cylinder))= \pi{r}^(2)h}}`

`\longrightarrow{\sf{Volume_((Cylinder))= 3.14{(50)}^(2)40}}`

`{\longrightarrow{\sf{Volume_((Cylinder))= 3.14{(50 * 50)}40}}}`

`{\longrightarrow{\sf{Volume_((Cylinder))= 3.14{(2500)}40}}}`

`{\longrightarrow{\sf{Volume_((Cylinder))= 3.14 * 2500 * 40}}}`

`{\longrightarrow{\sf{Volume_((Cylinder))= 3.14 * 100000}}}`

`{\longrightarrow{\sf{Volume_((Cylinder))= (314)/(100) * 100000}}}`

`{\longrightarrow{\sf{Volume_((Cylinder))= (314 * 100000)/(100)}}}`

`{\longrightarrow{\sf{Volume_((Cylinder))= (31400000)/(100)}}}`

`{\longrightarrow{\sf{Volume_((Cylinder))= 314000 \: {ft}^(3)}}}`

`\star{\underline{\boxed{\sf{\purple{Volume_((Cylinder))= 314000 \: {ft}^(3)}}}}}`

Hence, the volume of cylinder is 314000 ft³.

`\rule{300}{2.5}`