Find the surface area & volume of the figure

Question

asked Nov 8, 2024 121k views

1 Answer

Cory Shaw · Answer 1 · 2024-11-15T03:25:38+0000

Explanation:

The surface area can be described as the area of all the 2d figures within a 3d shape.

The surface area of a cylinder is

$sa = 2\pi {r}^(2) + 2rh\pi$

Here the radius is half of the diameter, so 8/2=4

The height is 11.

$sa = 2\pi(4) {}^(2) + 2\pi(4)(11)$

$sa = 32\pi + 88\pi = 120\pi$

The volume of a cylinder is

$v = \pi {r}^(2) h$

$v = \pi(16)(11) = 176\pi$