The value of the surface area of the cylinder is

Ответ:

staceyfrog2002ovw02g

12.03.2022

Height or x is 4.50 feet.

Step-by-step explanation:

Surface area is given as : $2\pi rh+2\pi r^{2}$

Volume is given as : $\pi r^{2} h$

The value of the surface area of the cylinder is equal to the value of the volume of the cylinder. This means:

$2\pi rh+2\pi r^{2}$ = $\pi r^{2} h$

Diameter is given as : $7\frac{1}{5} =\frac{36}{5} =7.2$ feet

So, radius = 7.2/2=3.6 feet

height = h

SA = $2\times3.14\times3.6h+2\times3.14\times(3.6)^{2}$

= 22.61h+81.39 feet square

Volume = $3.14\times(3.6)^{2} \times h$

= 40.70h cubic feet

Now as SA= volume ; we will equal both and solve for h;

22.61h+81.39=40.70h

=> 40.70h-22.61h=81.39

=> 18.09h=81.39

h = 4.50 feet

Hence, height or x is 4.50 feet.

So, SA = 183.12 square feet

Volume = 183.12 square feet

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