Question

You need to find the height of the cylinder

Answer 1

TSA = 2πrh + πr² (r = 40/2 = 20)

4715 = 40πh + 400π

4715/(40π) = h + 10

≈ 37.5 = h + 10

h = 27.5 cm

Hope this helped.

Answer 2

Answer:-

h = 17.52cm

Explanation:

To find the height, we'll use the formula for a surface area of a cylinder.

`\boxed{\sf SA=2\pi rh+2\pi r^2}`

Since the diameter is 40 cm, than the radius is :-

• 
  `\sf r=\cfrac{d}{2}`

• 
  `\sf r=\cfrac{40\;cm}{2}`

• 
  `\sf r=20cm`

Now, let's substitute the values to the SA formula:-

`\sf 4715\;cm^2=2\pi (20cm)h+2\pi (20cm)^2`

`\sf 4715cm^2=40\pi cmh+800cm^2\pi`

`\sf \cfrac{4715cm^2-800cm^2\pi }{40\pi cm} =\cfrac{40\pi cm(h)}{40\pi cm}`

`\sf h=\cfrac{2,201.725877cm^2}{40\pi cm}`

`\sf h=17.52\; cm`

____________________

Hope this helps!

Have a great day!