muhammadjonobruyev60
Answered

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The value of the solid’s surface area is equal to the value of the solid’s volume. Find the value of x.

The Value Of The Solids Surface Area Is Equal To The Value Of The Solids Volume Find The Value Of X class=

Sagot :

sqdancefan

9514 1404 393

Answer:

  x = 10 cm

Step-by-step explanation:

The volume formula is ...

  V = πr²h

The surface area formula is ...

  A = 2πr(r +h)

For r = 2.5 and h = x, we want to find x such that V = A.

  π(2.5²)x = 2π(2.5)(2.5 +x)

  2.5x = 2(2.5 +x) . . . . . . . . . . . divide by 2.5π

  2.5x = 5 +2x . . . . . . . . . eliminate parentheses

  0.5x = 5 . . . . . . . . . subtract 2x

  x = 10 . . . cm . . . . . multiply by 2

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