Question

PLZ HELP 100 POINTS AND DONT BE MEAN

Answer 1

`\Huge \boxed{\mathrm{a) \ \$ \ 80}} \\\\\\\\ \Huge \boxed{\mathrm{b) \ \$ \ 10}}`

`\rule[225]{225}{2}`

Explanation:

Surface area of the cylinder :

2πr² + 2πrh

The diameter is 2 ft, so the radius is 1 ft.

⇒ 2π(1)² + 2π(1)(3)

⇒ 8π ≈ 25.13

$3.18 is getting payed per square foot.

⇒ 25.13 × 3.18

⇒ 79.9221171073 ≈ 80

If the lid was missing:

πr² + 2πrh

π(1)² + 2π(1)(3)

7π ≈ 21.99

$3.18 is getting payed per square foot.

⇒ 21.99 × 3.18

⇒ 69.9318524689 ≈ 70

The difference :

80 - 70 = 10

$10 less if the lid is missing.

`\rule[225]{225}{2}`

Answer 2

Full drum 80 dollars

one lid missing

earn 10 dollars less

Explanation:

We need to find the surface area

SA = 2 pi r^2 + 2 pi rh

The diameter is 2 so the radius = 2/2 =1

SA = 2 * pi * 1^2 + 2 * pi * 1 * 3

= 2 pi + 6pi

= 8pi

Using pi = 3.14

SA = 8 *3.14 = 25.12 ft^2

We get 3.18 per ft^2

25.12 * 3.18 =79.88

To the nearest dollar

80 dollars

If one of the lids is missing

SA = pi r^2 + 2 pi rh

pi + 6pi

7 pi

Using pi = 3.14

SA = 7 *3.14 = 21.98 ft^2

We get 3.18 per ft^2

21.98 * 3.18 =69.90

To the nearest dollar

70

The difference is 10 dollars