Hello!
Before finding the diameter, we need to know the formula for the volume of cylinder. The volume of cylinder is found by using this formula: V = πr²h. In this formula, r is the radius and h is the height.
Since we have the height and volume, we need to find the radius, and then we can find the diameter.
900 = πr²(20) (divide both sides by 20)
45 = πr² (divide both sides by π)
45/π = r² (take the square root of both sides)
r ≈ 3.784 | The radius of the cylinder is equal to about 3.784 centimeters.
To find the diameter, we need to multiply the radius by 2 because half a diameter is equal to the radius.
3.784 × 2 = 7.568 centimeters | This can be rounded to about 7.57 centimeters.
Therefore, the diameter of the cylinder is equal to about 7.57 centimeters.
This is a division problem. We need to divide the pounds in a bag by the weight of 1 brick in order to find the number of bricks in a bag.
3 1/3 / 5/6
---Make the mixed number an improper fraction
10/3 / 5/6
---Multiply the first fraction (10/3) by the reciprocal of the second fraction (5/6). The reciprocal is essentially the opposite and is found by "flipping" the fraction.
10/3 x 6/5
60 / 15
4
Answer: 4 bricks are in the bag
Hope this helps!
Since it is one term that is being squared, we can distribute the square.
So, just multiply the current exponent by 2.
6*2 = 12
1*2 = 2
So
![s^{12}t^6](https://tex.z-dn.net/?f=s%5E%7B12%7Dt%5E6)