Answer:
254.34 cm^2
Step-by-step explanation:
Volume of cylinder = ![\pi r^{2} h](https://tex.z-dn.net/?f=%5Cpi%20r%5E%7B2%7D%20h)
We know that the diameter is 6, which means that the radius is 3 cm.
Now, it also tell us that that the height is triple the radius, this means that we multiply it by 3. Therefore, the height is 9 cm.
Now we know r = 3 cm and h = 9 cm, pi is assumed to 3.14 as well.
Substituting into the formula we will end up with 254.34 cm^2.
Answer:4 and 7/12
Explanation: 6 10/12 - 2 3/12 = 4 7/12
Answer:
y=-1/2x+4
Step-by-step explanation:
y=mx+b
where m=slope and b=y-intercept
so
y=-1/2x+4
Answer: h = 9
Step-by-step explanation: A system of linear equations is consistent when it has at least one solution.
The matrix given is:
![\left[\begin{array}{ccc}-15&21&h\\5&-7&-3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-15%2621%26h%5C%5C5%26-7%26-3%5Cend%7Barray%7D%5Cright%5D)
Transform this matrix in a row-echelon form:
![\left[\begin{array}{ccc}-15&21&h\\0&0&-9+h\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-15%2621%26h%5C%5C0%260%26-9%2Bh%5Cend%7Barray%7D%5Cright%5D)
For this row-echelon form to have solutions:
-9 + h = 0
h = 9
For this system to be consistent: h = 9.
Answer:
Step-by-step explanation:
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