PLEASE HELP WILL MARK BRAINLIEST

9514 1404 393

  A is smaller

Step-by-step explanation:

The surface area of a cylinder is ...

  A = 2πr² +2πrh = 2πr(r+h)

Here, we have r=30 mm, h = 240 mm, so the surface area is ...

 A = 2π(30 mm)(30 +240 mm) = 60,200π mm² ≈ 50,894 mm²

__

The box is 2 diameters square and 1 diameter high. Its surface area is ...

  A = 2(LW +H(L+W)) = 2((120 mm)(120 mm) +(60 mm)(120 +120 mm))

  A = 2(14400 mm² +14400 mm²) = 57,600 mm²

Comparing the two areas, we conclude that ...

  A is smaller

Alternate solution

Since r = d/2, the area of the cylinder is ...

  A = 2π(d/2)(d/2 +4d) = 9πd²/2 ≈ 14.14d²

The area of the box is ...

  A = 2((2d)(2d) +d(2d +2d)) = d²(2(4 +4)) = 16d²

Then 14.14 < 16, so A is smaller.

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.