The radius of a small ball is around 2.8436 cm. The radius of a basketball is about 4.22 times larger. What is the ratio of the surface areas of the small ball and a basketball? Part 2 What is the ratio of their volumes?

Explanation:

Both small ball and a basketball are in form of a sphere. Total surface area of a sphere is gotten using the formula;

surface area of a sphere S = 4πr²

If the radius of a small ball is around 2.8436 cm, its total surface area will be:

S = 4π(2.8436)²

S =4π(8.086)

S = 101.61 cm²

If the radius of a basketball is about 4.22 times larger, the radius will be 4 times larger as well. The radius of the basket ball = 4.22*2.8436

radius of thr basketball = 11.99cm

Surface area of the basketball S2 =  4π(11.99)²

S2 =4π(143.76)

S2 =1806.54cm²

The ratio of the surface areas of the small ball and a basketball S:S2

S:S2 = 101.61 cm² : 1806.54cm²

S:S2 = 0.0562

Hence, the ratio of the surface areas of the small ball and a basketball is approximately 0.0562.

2) The volume of a sphere = 4/3πr³

Volume of the small ball = 4/3π(2.8436)³

Volume of the small ball = 4/3 π  * 22.994

Volume of the small ball= 96.315cm³

Similarly;

Volume of the basketball = 4/3π(11.99)³

Volume of the small ball = 4/3 π  * 1723.68

Volume of the small ball= 7220.14cm³

The ratio of the volume of the small ball and a basketball V:V2

V:V2 = 96.315  : 7220.14

V:V2 = 0.01333

Hence, the ratio of the volumes of the small ball and a basketball is approximately 0.01333

sleep paralysis is a parasomnia, events associated with sleep.

sleep paralysis happens when you are in the middle of waking up or falling asleep. it is the feeling of being conscious but unable to move. it definitely involves hallucinations.

i had a friend that had sleep paralysis and he told me a story one time where he was laying in bed and he couldn't move his body no matter how hard he tried and there was someone standing in the corner of his room coming towards him. he couldn't move and you can't "wake up" because you are already conscious. sometimes sleep paralysis can be triggered by frequent waking up during the night based off of multiple trips to the bathroom, or if you had ever been abused, sleep paralysis can start happening from things like that.

which three statements are true about all alloys?