Question

Please help me with this ASAP ASAP please please help

Answer 1

Explanation:

Lateral area is the sides so for this it's distance around x 3 . b/c the cylinder is 3 units tall... sooo

r= radius , d= diameter

circumference = distance around = 2
`\pi`r or d
`\pi` = 16
`\pi`

Lateral area is 16
`\pi`*3 = 48
`\pi`

Surface area is the lateral area + the top and bottom

the area of a circle is
`\pi`
`r^(2)`

the area of this circle for the top is
`\pi`
`8^(2)`

64
`\pi`

times 2 b/c there is also a top and a bottom

128
`\pi` + 48
`\pi` = 176
`\pi`

surface area is 176
`\pi`
`units^(2)`

Volume of a cylinder is area of the circle base times the height.

the base is 64
`\pi`

time 3 = 192
`\pi`
`units^(3)`

Volume is 603.1857
`units^(3)`

note that two of the answer include pi, but you have that already put in for you in the answer so leave that part off.

Answer 2

Explanation:

The lateral area is formula for a cylinder is

`2\pi * r * h`

where r is radius and h is height.

`2\pi * 8 * 3 = 48\pi`

The surface area of cylinder is

`2\pi * {r}^(2) + 2\pi * r * h`

`2\pi(64) + 2\pi(24)`

`128\pi + 48\pi`

`176\pi`

Volume of cylinder is

`\pi * {r}^(2) * h`

`\pi * 64 * 3`

`192\pi`