Question

Find the height of a cylinder with a surface area of 1,206.4 in^2 and a radius of 8 in.

Answer 1

Answer:

h = 16 inches

Step-by-step explanation:

The surface area of a cylinder is given by

SA = 2 pi r^2 + 2 pi rh

We know the surface area and the radius

1206.4 = 2 ( 3.14) * 8^2 + 2 * 3.14 * 8 *h

1206.4 = 401.92+50.24h

Subtract 401.92 from each side

1206.4-401.92 = 401.92-401.92+50.24h

804.48=50.24h

Divide each side by 50.24

804.48/50.24 =50.24h/50.24

16.01273885=h

Answer 2

Answer:

$h=16.01 inch$

Step-by-step explanation:

Surface area of the cylinder=$1206.4 inch^2$

Radius of the cylinder=$8 inch$

Surface area of a cylinder= $(2*\pi *r*h)+(2*\pi *r^2)$

As, $\pi =\frac{22}{7} =3.14$

$1206.4=(2*3.14*8*h)+2*3.14*8*8\\\\1206.4=(2*3.14*8*h)+(2*3.14*64)$

$1206.4=50.24*h+401.92\\\\804.48=50.24*h\\\\h=804.48/50.24\\\\ h=16.01 inch$

The height of the cylinder is: $h=16.01 inch$