Answer:
radius = 2.05 units
Step-by-step explanation:
The volume of a sphere is given by the formula:
. In this formula:
- V = volume of the sphere
- r = radius of the sphere
Since we are given the volume of the sphere (36 units^3), we just need to solve for r in the equation for the volume of a sphere.
Substitute 36 for V into the formula and solve for r.

Divide both sides by
. To do this, multiply 36 by the reciprocal of
.
Simplify and rewrite the equation.

Now divide both sides of the equation by pi (
).
Rewrite the equation.

To isolate and solve for r, cube root both sides of the equation.
The radius of this sphere is 2.04835218977 units. If your question wants this rounded to the nearest:
- whole number: 2 units
- tenth: 2.0 units
- hundredth: 2.05 units
- thousandth: 2.048 units
I'll just give the answer rounded to the nearest hundredth as that seems the most popular.
Okie, the terms are similar in that they both have inches, but they are in different forms. The first has inches to the 2nd power. This is a unit for area. The second has the units of inches to the 3rd power. This is a unit of volume. To convert from area to volume, you would need a conversion but it usually would be from a problem with certain values. Ex. Think of a cube, the 2 sides multiplied would be area and third multiplied in would be volume. If you are adding an area to a volume, you would need to know of which since you cannot change volume magically to area or area magically to volume if you do not know the details of the problem. The answer is A; I hope this helps :-)
Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :

Given Points are (-3 , 5) and (6 , -1)
here x₁ = -3 and x₂ = 6 and y₁ = 5 and y₂ = -1

Option D is the Answer
Answer:
81 samples
Step-by-step explanation:
According to the empirical rule :
Possible values of the sample mean is within 3 standard deviations of the population mean :
μ ± 3 sd(x) ; sd(x) = standard deviation of sampling distribution.
3 * sd(x) = 1
sd(x) = 1/3
Recall:
Standard deviation of sampling distribution, sd(x)
sd(x) = σ / sqrt(n)
1/3 = 3 / sqrt(n)
Square both sides
1/9 = 9/n
Cross multiply :
n * 1 = 9 * 9
n = 81