christianhhammond
Answered

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the surface area of a cylinder with the radius 15.8ft and a height 4.4ft.

Sagot :

Answer:

2005.34 ft

Step-by-step explanation:

The equation for surface area of a cylinder is A=2 π r h+2π r^2, so by replacing the r with the given radius and h with the provided height, you merely follow the usual steps to solve an equation, which leads you to the answer of 2005.34 ft!

Answer:

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

  • v is volume
  • r is radius
  • h is height

→ To find the area, we differentiate the volume with respect to radius expression:

[tex]{ \tt{area = \frac{dv}{dr} =2 \pi rh}} \\ [/tex]

→ Therefore:

[tex]{ \tt{area = 2(3.14 \times 15.8 \times 4.4)+2(3.14\times 15.8²)}} \\ \\ { \boxed{ \tt{area = 2004.3248 \: {ft}^{2} }}}[/tex]

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