Question

9-30.

Answer 1

Given:

The radius of the cylinder is 5 units.

The height of the cylinder is 8 units.

We need to determine the surface area and the volume of the cylinder.

Surface area of the cylinder:

The surface area of the cylinder can be determined using the formula,

$S=2 \pi r(r+h)$

Substituting r = 5 and h = 8 in the above formula, we get;

$S=2(3.14)(5)(5+8)$

$S=2(3.14)(5)(13)$

$S=408.2$

Thus, the surface area of the cylinder is 408.2 square units.

Volume of the cylinder:

The volume of the cylinder can be determined using the formula,

$V=\pi r^2 h$

Substituting r = 5 and h = 8 in the above formula, we get;

$V=(3.14)(5)^2(8)$

$V=(3.14)(25)(8)$

$V=628$

Thus, the volume of the cylinder is 628 cubic units.