Question

a golf ball of diameter 1.68 inches rolls a distance of 4 meters in a straight line. how many times does the ball rotate completely? (1 inch=2.54 cm)

Answer 1

= (4[100])/(22/7[2.54 * 1.68])

= 400/(93.8784/7)

= 400(7/93.8784)

= 2,800/93.8784

= 30

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Answer 2

Answer:

$\large{ \boxed{ \boxed{ \purple \: 30 \: times}}}$

Step-by-step explanation:

$\large{ \red{ \mathfrak{Given}}}$

• A golf ball of diameter 1.68 inches rolls a distance of 4 meters in a straight line.

$\large{ \mathfrak{ \underline{ \underline{To \: find}}}}$

• How many times does the ball rotate completely?

$\large{ \purple{ \underbrace{ \mathfrak{Solution}}}}$

Diameter of Golf ball, d= 1.68×2.54=4.2672 cm

Radius r = 2.1336 cm.

Now,

Circumference of circle= 2πr

So,

Circumference of Golf ball, c=2×π×2.1336 = 13.405cm

$Numbers \: of \: rotations = \frac{Distance \: travelled \: by \: boll}{Circumference \: of \: ball} \\ N = \frac{S}{C} \\ So, \: N = \frac{4 \times 100}{13.405} \\ N = 29.38 \: or \: 30$

Hence, The ball rotates 30 times completely.

❣Hope this helps you✌