Question

The volume of this cylinder is 2,813.44 cubic feet. Height is 14 feet. What is the radius?

Answer 1

• 8 feet.

Given :

• The volume of cylinder is 2,813.44 cubic feet.
• Height of the cylinder is 14 feet.

To Find :

• The radius.

Solution :

We know,

`\bf \longrightarrow \qquad \: \pi {r}^(2) h = \: Volume_((cylinder))`

Where,

• r is the radius of the cylinder.

• h is the height of the cylinder.

• Here, we will take the value of π as 3.14 approximately .

Substituting the values in the formula :

`\sf \longrightarrow \qquad \: 3.14 * {r}^(2) * 14 = \: 2813.44`

`\sf \longrightarrow \qquad \: 43.96 * {r}^(2) = \: 2813.44`

`\sf \longrightarrow \qquad \: {r}^(2) = \: ( 2813.44)/(43.96)`

`\sf \longrightarrow \qquad \ {r}^(2) = \: 64`

`\sf \longrightarrow \qquad \: {r} = \: √(64)`

`\pmb{ \bf{ \longrightarrow \qquad \: {r} = \: 8}}`

Therefore,

• The radius of the cylinder is 8 feet.