Question

What is the volume of the following cylinder?

150.72 in. 3
301.44 in. 3
75.36 in. 3
602.88 in. 3

Answer 1

150.72 in³

Explanation:

We know that

Radius = Diameter/2

Radius = 8/2

Radius = 4 in

Now,

Volume of cylinder = πr²h

=> 3.14 × (4)² × 3

=> 3.14 × 16 × 3

=> 150.72 in³

Answer 2

The correct answer is option 150.72 in³.

Explanation:

Given :

• ✧ Diameter of cylinder = 8 in.
• ✧ Height of cylinder = 3 in.

To Find :

• ✧ Volume of cylinder

Using Formula :

`\star{\small{\underline{\boxed{\sf{\pink{R = (D)/(2)}}}}}}`

`\star{\small{\underline{\boxed{\sf{\pink{V = \pi{r}^(2)h}}}}}}`

• »» r = Radius
• »» D = Diameter
• »» V = Volume
• »» h = height

Solution :

Firstly, finding the radius of cylinder by substituting the values in the formula :

`\dashrightarrow{\small{\sf{Radius_((Cylinder)) = (D)/(2)}}}`

`\dashrightarrow{\small{\sf{Radius_((Cylinder)) = (8)/(2)}}}`

`\dashrightarrow{\small{\sf{Radius_((Cylinder)) = \cancel{(8)/(2)}}}}`

`\dashrightarrow{\small{\sf{Radius_((Cylinder)) = 4 \: in}}}`

`{\star{\underline{\boxed{\sf{\red{Radius_((Cylinder)) = 4 \: in}}}}}}`

Hence, the radius of cylinder is 4 in.

`\rule{300}{1.5}`

Now, finding the volume of cylinder by substituting the values in the formula :

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

`\dashrightarrow{\small{\sf{Volume_((Cylinder)) = 3.14 * {(4)}^(2) * 3}}}`

`\dashrightarrow{\small{\sf{Volume_((Cylinder)) = 3.14 * {(4 * 4)} * 3}}}`

`\dashrightarrow{\small{\sf{Volume_((Cylinder)) = 3.14 * {(16)} * 3}}}`

`\dashrightarrow{\small{\sf{Volume_((Cylinder)) = 3.14 * 16 * 3}}}`

`\dashrightarrow{\small{\sf{Volume_((Cylinder)) = (314)/(100) * 16 * 3}}}`

`\dashrightarrow{\small{\sf{Volume_((Cylinder)) = (314 * 16 * 3)/(100)}}}`

`\dashrightarrow{\small{\sf{Volume_((Cylinder)) = (314 * 48)/(100)}}}`

`\dashrightarrow{\small{\sf{Volume_((Cylinder)) = (15072)/(100)}}}`

`\dashrightarrow{\small{\sf{Volume_((Cylinder)) = Rs.150.72 \: {cm}^(3)}}}`

`\star{\small{\underline{\boxed{\sf{\red{Volume_((Cylinder)) = Rs.150.72 \: {cm}^(3)}}}}}}`

Hence, the volume of cylinder is 150.72 in³.

`\rule{300}{1.5}`