Question

The surface area of this cylinder to the nearest integer is? (height is 4 in. radius is 6 in.)

A) 57 in2.

B) 75 in2.

C) 132 in2.

D) 250 in2.

Answer 1

c

Explanation:

hope it helps

Answer 2

The surface area is equal to
`377\ in^(2)`

Explanation:

we know that

The surface area of the cylinder is equal to

`SA=2B+Ph`

where

B is the area of the base of cylinder

P is the circumference of the base of cylinder

h is the height of the cylinder

Find the area of the base B

`B=\pi r^(2)`

we have

`r=6\ in`

substitute

`B=\pi (6^(2))=36\pi\ in^(2)`

Find the circumference of the base

`P=2\pi r`

we have

`r=6\ in`

substitute

`P=2\pi (6)=12\pi\ in`

Find the surface area

we have

`B=36\pi\ in^(2)`

`P=12\pi\ in`

`h=4\ in`

substitute

`SA=2B+Ph`

`SA=2(36\pi)+(12\pi)(4)`

`SA=72\pi+48\pi=120\pi=377\ in^(2)`