Write an expression using exponents. Use each base once
2 answers:
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Remark
I take it that you want to know the ratio of the radii. If this is not correct, leave a comment below my answer.
You could do this by giving the spheres a definite volume, like 1 and 8 and then solve for r for one of them and then use the other sphere to find it's radius. It is not exactly the best way, and if you are going to to a physics class you want to be doing this using cancellation.
Step One
Set up the Ratio for the volumes.
Step Two
Setup the equation for V1/V2 using the definition for a sphere. V = 4/3 pi r^3
Step Three
Cancel the 4/3 and pi on the top and bottom of the fractions on the right.
You are left with 1/8 = (r1)^3/ (r2)^3
Step Four
Take the cube root of both sides.
cube root 1/8 = 1/2
Cube root of (r1)^3 = r1
Cube root of (r2)^3 = r2
Step Five
Answer
Answer <<<<<<<
I take it that you want to know the ratio of the radii. If this is not correct, leave a comment below my answer.
You could do this by giving the spheres a definite volume, like 1 and 8 and then solve for r for one of them and then use the other sphere to find it's radius. It is not exactly the best way, and if you are going to to a physics class you want to be doing this using cancellation.
Step One
Set up the Ratio for the volumes.
Step Two
Setup the equation for V1/V2 using the definition for a sphere. V = 4/3 pi r^3
Step Three
Cancel the 4/3 and pi on the top and bottom of the fractions on the right.
You are left with 1/8 = (r1)^3/ (r2)^3
Step Four
Take the cube root of both sides.
cube root 1/8 = 1/2
Cube root of (r1)^3 = r1
Cube root of (r2)^3 = r2
Step Five
Answer
They made profit of by selling 190 kg of taffy in 400 g bags at rate of
each.
<u>Solution: </u>
Given that
To raise money, the Boy Scouts bought 190 kg of taffy for .
They sold the tafty in 400 g bags for
Need to calculate the profit the made.
Cost price of 190 kg of taffy =
As 1 kg = 1000 gram,
So 190 kg of taffy =
So cost price of 190000 gram of taffy =
Now let us calculate number of 400 grams bags which can be made from 190000 grams of taffy
Number of 400 grams bags =
Amount generated from 1 bag of 400 gram taffy = 3.28
So amount generated from 475 bags of taffy =
Selling price of 190000 grams of taffy = amount generated from 475 bags of taffy =
Hence they made profit of by selling 190 kg of taffy in 400 g bags at rate of