Respuesta :
Step-by-step 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.
[tex] \: [/tex]
We know that,
[tex]{ \longrightarrow\qquad{\frak {\pmb{ \pi {r}^{2}h = Volume_{(cylinder) } }}}} \\ \\[/tex]
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 .
[tex] \: [/tex]
Now, we will substitute the given values in the formula :
[tex] \: [/tex]
[tex]{ \longrightarrow\qquad{\sf {\pmb{ 3.14 \times {r}^{2} \times 15 = 15260.4 }}}} \\ \\[/tex]
[tex]{ \longrightarrow\qquad{\sf {\pmb{ {r}^{2} \times 47.1 = 15260.4 }}}} \\ \\[/tex]
[tex]{ \longrightarrow\qquad{\sf {\pmb{ {r}^{2} = \dfrac{15260.4}{47.1} }}}} \\ \\[/tex]
[tex]{ \longrightarrow\qquad{\sf {\pmb{ {r}^{2} \ = 324 }}}} \\ \\[/tex]
[tex]{ \longrightarrow\qquad{\sf {\pmb{ r = \sqrt{324} }}}} \\ \\[/tex]
[tex]{ \longrightarrow\qquad{ \underline{ \boxed{\pmb {\frak{ r = 18 } }}}}} \: \: \: \bigstar\\ \\[/tex]
[tex] \: [/tex]
Therefore,
- The radius of the cylinder is 18 yards .
Answer:
- Radius of the cylinder is 18 yards
Step-by-step 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
