oksuzette12
oksuzette12 oksuzette12
  • 07-06-2021
  • Mathematics
contestada

find the volume of a cylinder with radius 5 and surface area 180pi

Answers : either 200pi or 325pi help !

Respuesta :

whitneytr12
whitneytr12 whitneytr12
  • 12-06-2021

Answer:

The volume of a cylinder is 325π.

Step-by-step explanation:

The volume of a cylinder is given by:

[tex]V = \pi r^{2}h[/tex]

Where:

h: is the height

r: is the radius = 5

We can find "h" from the surface area of the cylinder:

[tex]SA = 2\pi rh + 2\pi r^{2} = 180\pi[/tex]

[tex] h = \frac{180\pi - 2\pi r^{2}}{2\pi r} = \frac{180\pi - 2\pi (5)^{2}}{2\pi*5} = 13 [/tex]

Hence, the volume is:

[tex]V = \pi r^{2}h = \pi*(5)^{2}*13 = 325 \pi[/tex]

Therefore, the volume of a cylinder is 325π.

I hope it helps you!

Answer Link

Otras preguntas

Here's a story problem...."Rita's wants to estimate the number of beans in a large jar.  She takes out 100. she takes out 100 beans and marks them. Then she ret
Here's a story problem...."Rita's wants to estimate the number of beans in a large jar.  She takes out 100. she takes out 100 beans and marks them. Then she ret
How do you find the perimeter of a dented square?
How do you find the perimeter of a dented square?
if arctan(3/5)=K    Tan(k)=?
How do you find the perimeter of a dented square?
Here's a story problem...."Rita's wants to estimate the number of beans in a large jar.  She takes out 100. she takes out 100 beans and marks them. Then she ret
How do you find the perimeter of a dented square?
How do you find the perimeter of a dented square?
Suppose theta= 11pi/12. How do you use the sum identity to find the exact value of sin theta?