Question

The total surface area of a cylinder is 690.8. Its diameter is 10 inches. What is it’s height?

Answer 1

Answer:

$h=17\ in$

Step-by-step 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

$31.4h=690.8-157$

$31.4h=533.8$

$h=17\ in$