110k views
18 votes
Find the volume of the cylinder. Enter the answer EXACTLY please, no rounding.

Find the volume of the cylinder. Enter the answer EXACTLY please, no rounding.-example-1
User Graciela
by
7.5k points

2 Answers

3 votes

Answer:

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)

User Thebiffboff
by
8.0k points
10 votes

Answer:

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}

User Mitenka
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories