They are same side interior!! Not alternate, they’d be on opposite sides of the line
The original volume of the balloon is given by:
V1 = (4/3) * (pi) * (r ^ 3)
Where,
r: radius of the sphere.
Substituting values:
V1 = (4/3) * (pi) * (1 ^ 3)
V1 = (4/3) * (pi) * (1)
Then, the volume of the current sphere is:
V2 = (4/3) * (pi) * ((1 + 2 * (1)) ^ 3)
V2 = (4/3) * (pi) * ((1 + 2) ^ 3)
V2 = (4/3) * (pi) * ((3) ^ 3)
V2 = (4/3) * (pi) * (27)
The relation of volumes is:
V2 / V1 = ((4/3) * (pi) * (27)) / ((4/3) * (pi) * (1))
V2 / V1 = 27/1
Answer:
The ratio of the current volume of the balloon to the original volume of the balloon is:
27: 1
Answer:
Step-by-step explanation:
given that in a lottery game, a player picks 5 numbers from 1 to 46
If 4 of the 5 numbers match those drawn, the player wins second prize.
Assuming the numbers are chosen without repitition we find that the player can choose 5 numbers in 46C5 ways.
To win the prize he must choose 4 numbers form the 5 numbers in the prize and remaining 1 number any other number.
i.e. no of ways to get II price = choosing 4 numbers out of 5, and one number from 41
= 
Probability of winning this prize
=