The surface area of a cylinder can be expressed by the formula S A space equals 2 pr squared space plus space 2 prh. Which formula below can be used to solve for h?

The formula that can be used to solve for h is;

h = S.A/(2πr) - r

Step-by-step explanation:

Here, we want to find the formula that can be used to get the height of the cylinder given the surface area of the cylinder.

Mathematically;

S.A = (2 π r^2 + 2 π r h)

Let’s factor out 2 π r

S.A = 2 π r( r + h)

divide both sides by 2 π r

S.A/2 π r = r + h

h = S.A/(2 π r) - r

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15