Help me divide these please?
S.A=6s^2 divided by V=s^3
S.A+4 pi r^2 divided by V=4/3 pi r^3
S.A=2 pi r^2+2 pi rh divided by V= pi r^2 h
the area of a cube divided by the volume?
6/s
did you use a + where it should have been = ?
area of sphere divide by volume ?
3/r
area of right circular cylinder divided by volume ?
2/h + 2/r = 2 (r+h)/rh
Yes thank you, sorry I was a bit confused about this
To solve these divisions, we can simplify the expressions and then divide them. Let's go step by step.
1. **S.A = 6s^2 divided by V = s^3:**
To divide two terms, we need to divide their coefficients and subtract the exponents. In this case, we have S.A (surface area) divided by V (volume). So the simplified division is:
S.A / V = (6s^2) / (s^3)
To divide, we subtract the exponents of the variable s:
S.A / V = 6s^(2-3) = 6s^(-1)
Therefore, the simplified division is 6s^(-1).
2. **S.A + 4πr^2 divided by V = 4/3πr^3:**
Similar to the previous example, we will divide the terms after simplifying them. Here, we have (S.A + 4πr^2) divided by V (volume).
We need to divide the coefficient of S.A, which is 1, by the coefficient of V, which is (4/3πr^3). Then we subtract the exponents of r:
(S.A + 4πr^2) / V = (1 / (4/3πr^3)) * (1 / r^1)
To divide fractions, we multiply the numerator by the reciprocal of the denominator:
(S.A + 4πr^2) / V = 1 * (3/4πr^3) * (1 / r^1)
Simplifying further, we have:
(S.A + 4πr^2) / V = 3 / (4πr^3 * r) = 3 / (4πr^4)
Therefore, the simplified division is 3 / (4πr^4).
3. **S.A = 2πr^2 + 2πrh divided by V = πr^2h:**
Again, we will simplify the expressions and then perform the division. Here, we have S.A (surface area) divided by V (volume), which are two expressions involving r (radius) and h (height).
We divide the terms by dividing the coefficients firstly and then subtracting the exponents of the variables. The simplified division is:
S.A / V = (2πr^2 + 2πrh) / (πr^2h)
In this case, we can divide each term within the division separately, as both terms have a shared denominator:
S.A / V = (2πr^2 / (πr^2h)) + (2πrh / (πr^2h))
Now, simplify further:
S.A / V = (2 / h) + (2h / r^2h)
To combine the terms, we need to find a common denominator, which is r^2h:
S.A / V = (2 / h) + (2h^2 / r^2h^2)
Finally, we can add the terms together, as they share a common denominator:
S.A / V = (2 + 2h^2) / (r^2h^2)
Therefore, the simplified division is (2 + 2h^2) / (r^2h^2).