Question

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The surface area S of the circular cylinder is given S = 2π(25) + 2π(5h)

Find the height h of the cylinder if the surface area is 785 sq. feet. Use 3.14 for π.

h = ________ ft

Answer 1

h = 20 feet

Explanation:

s= 2
`\pi`(25) + 2
`\pi`(5h) Substitute 3.14 for
`\pi` and 785 for s

785 = 2(3.14)(25)+2(3.14)(5)h

785 = 157 + 31.4h Subtract 157 from both sides

785 - 157 = 157 - 157 + 31.4h

628 = 31.4 h Divide both sides by 31.4

`(628)/(31.4)` =
`(31.4h)/(31.4)`

20 = h

Answer 2

h = 20 ft

Explanation:

Given formula for the surface area of the cylinder:

`\boxed{S = 2\pi(25) + 2\pi(5h)}`

Given:

• S = 785 ft²
• π = 3.14

Substitute the given values into the given formula and solve for h:

`\implies 785=2(3.14)(25)+2(3.14)(5h)`

`\implies 785=157+31.4h`

`\implies 31.4h=785-157`

`\implies 31.4h=628`

`\implies h=20`

Therefore, the height of the cylinder is 20 ft.