Answer:
-1/3 is closer to 0
Step-by-step explanation:
3/8 is between 0 and -1/3. We need to determine if 3/8 is closer to -1/3 or closer to zero. Since -1/3 is smaller than 3/8, 3/8 is closer to -1/3. Since 3/8 is closer to -1/3, 3/8 rounded to the nearest -1/3 is -1/3.
Answer:
Using either method, we obtain:
Step-by-step explanation:
a) By evaluating the integral:
The integral itself can be evaluated by writing the root and exponent of the variable u as:
Then, an antiderivative of this is:
which evaluated between the limits of integration gives:
and now the derivative of this expression with respect to "t" is:
b) by differentiating the integral directly: We use Part 1 of the Fundamental Theorem of Calculus which states:
"If f is continuous on [a,b] then
is continuous on [a,b], differentiable on (a,b) and
Since this this function is continuous starting at zero, and differentiable on values larger than zero, then we can apply the theorem. That means:
The volume of the cone is 58.875 cubic inches. The volume of the cylinder is 176.625 cubic inches. The volume of the cylinder is three (3) times the volume of the cone.
<h3>What is the volume of a cone and cylinder?</h3>
The volume of a cone is equal to one-third (1/3) of the area of the circular base as well as the height product.
Mathematically, the volume of a cone can be expressed as:
where;
- radius = 2.5 inches
- height = 9 inches
The volume of a cylinder implies the amount of quantity of material being carried in the cylinder. The volume of the cylinder can be expressed as:
V = πr²h
V = π(2.5)² × 9
V = 3.14 × (2.5)² × 9
V = 176.625 inches³
The volume of the cylinder is <u>three times </u> the volume of the cone because:
= 3
Learn more about the volume of cone and cylinder here:
brainly.com/question/1310192
Answer:
A
Step-by-step explanation:
3/4 times 24 is 18-4 is 14 and then you must do 1/2 times 24 which is 12 and then subtract by 10 which is 2
If he has a quart and there are 4 quarts in a gallon you would take four times five and get 20 so your answer would be 20