Question

a right cylindrical solid is cut in half to form the figure shown. if the length is 20 cm and the diameter is 8cm, what is the surface area? (please explain thoroughly)

Answer 1

(96π + 160) cm²

Explanation:

Given:

Diameter of half cylinder = 8 cm

radius(r) = diameter/2 = 8/2 = 4 cm

Height of the cylinder = 20 cm

We have,

The total surface area or surface area of half cylinder is calculated by using the formula:

`\boxed{\textsf{TSA of half cylinder =}\sf \pi rh+\pi r^2+2rh}`

Now,

Substituting value:

TSA of half cylinder = π*4*20+π*4^2+2*4*20

TSA of half cylinder = 80 π + 16π+160

TSA of half cylinder = (96π + 160) cm²

Therefore,

The surface area of half cylinder option 2nd. (96π + 160) cm²

`\boxed{\textsf{Hope This Helps !!!}}`