Given:
The ratio is 
.
To find:
Inverse tangent of the given ratio.
Solution:
We know that,
Inverse tangent of the ratio = 
= 
Using scientific or graphing calculator, we get
Inverse tangent of the ratio = 
Round to the nearest degree
Inverse tangent of the ratio 
Therefore, the correct option is C.
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:
5
Step-by-step explanation:
1 inch=8 miles
so if you had x miles on the scale then it is 8 times x mils in real ife
so you are trying to find acutal milage and then convert it to other map of 6 miles per inc
distance=1 and1/2 inches
multiply by 8
1 and 1/2 times 8=8+4=12
so the acual distance is 12 miles
then we convert it
6 miles=1 in
divide by 6
1 mile=1/6 inch
12 miles=1/6 inch itmes 12=12/6=2
2 inches
answer is C
