Question

A cylinder has a height of 15 yards its volume is 15,260.4 what is the radius of the cylinder

Answer 1

Explanation:

As it is given that, a cylinder has a height of 15 yards and the volume of the cylinder is 15,260.4 cubic yards and we are here to find the radius of the cylinder.

`\:`

We know that,

`{ \longrightarrow\qquad{\frak {\pmb{ \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 .

`\:`

Now, we will substitute the given values in the formula :

`\:`

`{ \longrightarrow\qquad{\sf {\pmb{ 3.14 * {r}^(2) * 15 = 15260.4 }}}} \\ \\`

`{ \longrightarrow\qquad{\sf {\pmb{ {r}^(2) * 47.1 = 15260.4 }}}} \\ \\`

`{ \longrightarrow\qquad{\sf {\pmb{ {r}^(2) = (15260.4)/(47.1) }}}} \\ \\`

`{ \longrightarrow\qquad{\sf {\pmb{ {r}^(2) \ = 324 }}}} \\ \\`

`{ \longrightarrow\qquad{\sf {\pmb{ r = √(324) }}}} \\ \\`

`{ \longrightarrow\qquad{ \underline{ \boxed{\pmb {\frak{ r = 18 } }}}}} \: \: \: \bigstar\\ \\`

`\:`

Therefore,

• The radius of the cylinder is 18 yards .

Answer 2

• Radius of the cylinder is 18 yards

Explanation:

Given:

• Height of cylinder (H) = 15 yards
• Volume of cylinder = 15,260 yd³

To Find:

• Radius of the cylinder

Solution:

Here we are given height and volume of the cylinder. To find the radius of the cylinder We will substitute the value of height and volume in give formula:

Volume of cylinder = πr²h

➝ 15,260.4 = 22/7 × (r)² × 15

➝ 15,260.4 = (r)² × 330/7

➝ 15,260.4 = (r)² × 47.1

➝ 15,260.4/47.1 = (r)²

➝ 324 = (r)²

➝ √324 = r

➝ 18 = r

Hence,

• Radius of cylinder is 18 yards