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A cylindrical roller 2.5 m in length, 1.5 m in radius when rolled on a road was found to cover the area of 16500 m2 . How many r

eduard

Answer:

701 revolutions

Step-by-step explanation:

Given: Length= 2.5 m

Radius= 1.5 m

Area covered by roller= 16500 m²

Now, finding the Lateral surface area of cylinder to know area covered by roller in one revolution of cylindrical roller.

Remember; Lateral surface area of an object is the measurement of the area of all sides excluding area of base and its top.

Formula; Lateral surface area of cylinder= $2\pi rh$

Considering, π= 3.14

⇒ lateral surface area of cylinder= $2\times 3.14\times 1.5\times 2.5$

⇒ lateral surface area of cylinder= $23.55 \ m^{2}$

∴ Area covered by cylindrical roller in one revolution is 23.55 m²

Next finding total number of revolution to cover 16500 m² area.

Total number of revolution= $\frac{16500}{23.55} = 700.6369 \approx 701$

Hence, Cyindrical roller make 701 revolution to cover 16500 m² area.

8 0

3 years ago

What is the probability that a person who is older than 35 years has a hemoglobin level between 9 and 11

lora16 [44]

Answer:

1. The probability that a person who is older than 35 years has a hemoglobin level between 9 and 11 is 0.284.

2. The probability that a person who is older than 35 years has a hemoglobin level of 9 and above is 0.531.

Step-by-step explanation:

Let the number of person who is older than 35 years has a hemoglobin level between 9 and 11 be x.

From the given table it is clear that the total number of person who is older than 35 years is 162.

$76+x+40=162$

$x+116=162$

$x=162-116$

$x=46$

The number of person who is older than 35 years has a hemoglobin level between 9 and 11 is 46.

1.

The probability that a person who is older than 35 years has a hemoglobin level between 9 and 11 is

$P=\frac{\text{Person who is older than 35 years has a hemoglobin level between 9 and 11}}{\text{Person who is older than 35 years}}$

$P=\frac{46}{162}\approx 0.284$

The probability that a person who is older than 35 years has a hemoglobin level between 9 and 11 is 0.284.

2.

Person who is older than 35 years has a hemoglobin level of 9 and above is

$46+40=86$

The probability that a person who is older than 35 years has a hemoglobin level of 9 and above is

$P=\frac{\text{Person who is older than 35 years has a hemoglobin level of 9 and above}}{\text{Person who is older than 35 years}}$

$P=\frac{86}{162}\approx 0.531$

The probability that a person who is older than 35 years has a hemoglobin level of 9 and above is 0.531.

4 0

3 years ago

Leo's bank balances at the end of months 1, 2, and 3 are $1,400.00, $1,428.00, and $1,456.56, respectively. The balances form a

Alborosie

Leo is earning 2% interest
1400X’s2%=1428
Ending balance is $1608.15, if you start 1400 as month one.

7 0

3 years ago

Two cyclists leave city at same time, one going east and the other going west. The westbound cyclist bikes 3 mph faster than the

Bumek [7]

Speed of the east bound cyclist is 12 mph and the speed of west bound cyclist is 15 mph.

Solution:

Let us assume that x is speed of slower eastbound cyclist

So, x+3 will be the speed of faster westbound cyclist

We know that distance is the product of speed and time. That is,

$\text{Distance}=\text{Speed}\times\text{Time}$

West-bound DATA:

Rate of speed = x+3 mph ; Time = 6 hrs ; distance = 6(x+3) = 6x+18 miles

East-bound DATA:

Rate of speed = x mph ; time = 6 hrs. ; distance = 6x miles

On solving,

Distance apart = 162

$\Rightarrow6x+18+6x = 162$

$\Rightarrow12x=162-18$

$\Rightarrow x=\frac{144}{12}\rightarrow x=12$

So, the rate of speed of the east bound cyclist is 12 mph and the rate of speed of the west bound cyclist will be $x+3=12+3=15 \text{ mph}$

8 0

3 years ago

Add. Write your answer in simplest form. 4 + 1 6 5 5 6

Reika [66]

Answer:

5

Step-by-step explanation:

Not very clear, but the simplest form of 4+1 will be 5.

3 0

3 years ago

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