Question

A wheel makes 1000 revolutions in covering a distance of 88 km. The diameter of the wheel is:A. 24 mB. 40 mC. 28 mD. 14 m

Answer 1

firstly on solving I got to know that these all are coming as radius not diameters
No. of revolutions =1000
distance=88km
since
$number \: of \: revoutions = \frac{disance \: travelled \: }{circumference}$
now circumference=
$\frac{88000}{1000} = 88$
Now,
diameter =
$88 = 2 \times \frac{22}{7} \times \frac{x}{2} \\ x = \frac{88 \times 7}{22} \frac{308}{11} = 28$
therefore the answer will be. {C} .

Answer 2

The diameter of the wheel is 28 m

Given :

A wheel makes 1000 revolutions in covering a distance of 88 km

To find :

The diameter of the wheel is

A. 24 m

B. 40 m

C. 28 m

D. 14 m

Solution :

Step 1 of 2 :

Calculate the circumference of the wheel

Here it is given that the wheel makes 1000 revolutions in covering a distance of 88 km

1 km = 1000 m

∴ 88 km = 88000 m

The distance covered in 1000 revolutions = 88000 m

∴ The distance covered in 1 revolution

= 88000/1000 m

= 88 m

Now the wheel covers 88m in one revolution implies that the circumference of the wheel is 88 m

Step 2 of 2 :

Calculate the diameter of the wheel

Let radius of the wheel = r metre

The circumference of the wheel = 2πr metre

By the given condition

$\displaystyle \sf{2\pi r = 88 }$

$\displaystyle \sf{ \implies 2 \times \frac{22}{7} \times r = 88 }$

$\displaystyle \sf{ \implies r = 88 \times \frac{1}{2} \times \frac{7}{22} }$

$\displaystyle \sf{ \implies r = 14}$

∴ The radius of the wheel = 14 m

∴ The diameter of the wheel

= 2 × 14 m

= 28 m

Hence the correct option is C. 28 m

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ find supplement angle of 123 degree

https://brainly.in/question/24084246

2. write the complement of 50degree

https://brainly.in/question/25436137

#SPJ3