Answer:
$780.50
Step-by-step explanation:
I will update this if I figure how it's solved as well.
The formula to calculate the volume of a cylinder is: V = Π h r², that is, Pi per height per radius squared Steps to follow: one When calculating the volume of a cylinder, you will need to measure the height (h) of the cylinder, a value that sometimes also receives the name of length. Let's give a concrete example to be able to apply the formula and that way you understand better how to carry out the operations. In this way, we will assume that the height or length of the cylinder is 10 cm. two On the other hand, you must also have the measure of the radius (r) of the cylinder, that is, the distance from the outer edge to the center of the circle that serves as the base of this polyhedral figure. Make sure you use the same unit of measure for each dimension, if they are expressed in different units, you must do the conversion to obtain the equivalence. Following the example, let's give the radio a value of 3 cm 3 So, knowing that the formula to calculate the volume of a cylinder is: V = Π h r² We just need to know how much pi is worth, remember? Yes, we can round it to 3.14 and, therefore, we will only need to substitute each value in the formula. Next, you must calculate the square of the radius (r²), multiplying the value by itself and then multiply the result of the height by Pi, by the result of the radius squared. V = 3.14 x 10 x 3² = 3.14 x 10 x 9 = 282.6 cm³ Remember to write the answer in the appropriate cubic unit of measure. So you can understand where you get the formula to calculate the volume of a cylinder: If you disarm a cylinder in your hands you will have two equal circles and a rectangle, right? First you must use the formula to take out the area of a circle that is: A = (Π) (r²) When you get the area of the circle you multiply it by the height of the cylinder and the result is the volume of the cylinder. Always remember to be careful with the units of measurement you use in calculations.
The volume of this container is 5990 feet³.
<h3>How to calculate the volume?</h3>
Volume of a cylinder = πr²h
π = 3.14
r = radius = 17.5/2 = 8.75
h = 24.5
The volume will be:
= πr²h
= 3.14 × 8.75² × 24.5
= 5990 ft³
Therefore, the volume of this container is 5990 feet³.
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Answer:
7y - 4x
Step-by-step explanation:
Given
- 3(2x - y) + 2y + 2(x + y) ← distribute parenthesis
= - 6x + 3y + 2y + 2x + 2y ← collect like terms
= 7y - 4x
The point (2, 5) is not on the curve; probably you meant to say (2, -5)?
Consider an arbitrary point Q on the curve to the right of P, 
, where 
. The slope of the secant line through P and Q is given by the difference quotient,
where we are allowed to simplify because 
.
Then the equation of the secant line is
Taking the limit as 
, we have
so the slope of the line tangent to the curve at P as slope 2.
- - -
We can verify this with differentiation. Taking the derivative, we get
and at 
, we get a slope of 
, as expected.
