Question

The diameter of the wheel is 70 cm.how many revolutions will it make to travel 66km.​

Answer 1

Step-by-step explanation:

94 revolutions it will take

Answer 2

Given:

diameter of the wheel = 70cm

To Find:

how many revolution will it make to travel 66km

Solution:

we are given that the diameter of the wheel is 70cm

We know that:

radius is half of the diameter

thus,

the radius of the wheel:

$\sf\ \implies\frac{70}{2} = 35cm$

⊱ we will calculate the distance in one revolution by determining the circumference of the wheel

$\sf\red {\boxed{\underline{\pink{\sf{circumference \: of \: the \: wheel \: = 2\pi\:r}}}}}$

⊱ where, r is the radius of the wheel

then,

the distance covered in one revolution is:

$\implies \sf \: 2( \frac{22}{7} )(35) = 220cm$

⊱ we will divide it by 10,0000 to convert it into kilometres

$\implies \sf \frac{220}{10000} \:km$

therefore,

$\sf \: \frac{220}{100000} \:km \: is \: covered \: in \: one \: revolution$

Now,

⊱ we will divide the given distance by the distance covered in one revolution to find the number of revolution

$\implies \sf\: \frac{1.65}{220} \times 100000 = 750$

Hence,

the total number of revolution is 750

★ $\bf\underline\red{more\: information}$★

➙ Diameter of the circle = 2 × r

➙ circumference of the circle = 2πr

➙ area of the circle = πr²

➙ radius of the circle = $\sf{\frac{C}{2π}}$