The diameter of a roller is 84 cm and it's length is 120 cm. it takes 500 complete revolutions to move once over to level a playground. find the area of playground in m².

we are given

diameter=84cm

so,

radius =r=42cm

height=h=120cm

we know that

shape of roller is always in cylinder form

now, we can find surface area of cylinder

now, we can plug values

we know that

In one rotation , it covers area is 31667.25395 cm^2

There are 500 rotation

so, total area =

total area =

now, we need to change that area into m^2

we know that

now, we can multiply both sides 15833626.975

we get

so,

Area of playground is .............Answer

linearly: 8560 bacteria

exponentially: approximately 75233 bacteria

step-by-step explanation:

assuming it is not exponential (we would have some really complicated logarithms), let's say it is linear. then, after 5 hours, it increased by 1200 bacteria, so every hour it increases by 240 bacteria. this means that after 19 hours, we get 19 * 240 + 4000 bacteria or 3800 + 760 + 4000 = 7800 + 760 = 8560 bacteria.

because it says round your answer, i will do this exponentially (with a calculator, of course). first, we need to find how much it multiplies by every hour, by taking the 5th root of 52/40 or 13/10. this is approximately 0.167. we still need to add 1 to this, because we are multiplying by that number, not adding that amount of the number. now, we just calculate 4000 * (1.167)^19. use a calculator to get approximately 75232.6, or 75233.

c - they will have the same distribution

step-by-step explanation:

this is the only one that could make sense. : )