1 Answer

Nevin Thomas · Answer 1 · 2020-09-15T10:37:51+0000

Answer:

$h=17\ in$

Explanation:

we know that

The total surface area of a cylinder is equal to

$SA=2\pi r^(2)+2\pi rh$

where

r is the radius of the base of cylinder

h is the height of cylinder

we have

$SA=690.8\ in^2$

$r=10/2=5\ in$ ----> the radius is half the diameter

assume

$\pi=3.14$

substitute the given values and solve for h

690.8=2(3.14)(5^(2))+2(3.14)(5)h

690.8=157+31.4h

Solve for h

31.4h=690.8-157

31.4h=533.8

$h=17\ in$

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