By definition, the volume of a sphere is given by:
V = (4/3) * (pi) * (r ^ 3)
where,
r: radius of the sphere.
Substituting we have:
V = (4/3) * (pi) * ((3) ^ 3) = 113.08 in ^ 3
answer
the best estimate for the volume of air in the balloon in cubic inches is
C. 113.1
Answer:
.
Step-by-step explanation:
We can figure out how long Michael's trip took by realizing that 30 mph is 3 times 10 mph. Because of this, the trip home will take 1/3 the amount of time it took to go up the hill. This makes the equation 24 + 8 = 32 minutes for the whole trip.
Now we need to figure out how long the trip was. We can do this by multiplying 10 minutes by 24/60, which equals 4. This means that Michael went 4 miles there, and 4 miles back. So Michael went a total of 8 miles.
Now we know that Michael went 8 miles in 32 minutes. Now, we multiply 8 by 60/32. This gives us 15, so Michael went 15 miles per hour on average in the trip.
Writing this problem in symbols instead of in words greatly simplifies it:
(2 2/3) * (1 1/5) * (1 1/2)
Write each quantity (inside each set of parentheses) as an improper fraction:
(8/3) * (6/5) * (3/2)
Now multiply the numerators thru: 8*6*3 / 3*5*2
Notice that we can reduce this by dividing the 8 by the 2 and dividing the 6 by the 3: 4*3*3 36
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5 5
