The volume of the figure below is 496.21 ft^3 True or False
1 answer:
Answer:
First option: True.
Step-by-step explanation:
To know if the volume of this cylinder is 496.21 ft³, you need to use the formula for calculate the volume of a cylinder:
Where "r" is the radius and "h" is the height.
You can observe in the figure that the radius of the cylinder is 4.5 feet and the height is 7.8 feet.
Then, knowing this, you can substitute these values into the formula.
Therefore, the volume of this cylinder is:
Then the answer is: True.
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Answer:
Step-by-step explanation:
Circumference is the perimeter of a circle. It can be found using the formula:
However, we are given the radius.
- The radius measures from the center to the edge of the circle.
- The diameter measures from edge to edge through the center.
- So, the diameter is twice the radius, or d=2r
The formula can be rewritten as:
We know the circumference is 25.12 inches.
Let's round pi to 3.14
We want to solve for the radius, so we must isolate it.
Divide both sides by 3.14 because the inverse of multiplication is division.
Divide both sides by 2.
The radius of the disc is <u>4 inches.</u>
Answer:
The solution is:
Step-by-step explanation:
The first step to solve this equation is placing everything with the exponential to one side of the equality, and everything without the exponential to the other side. So
To find x, we have to apply log to both sides of the equality.
We also have that:
So