Answer:
4/3
Step-by-step explanation:
To know this, let's write down the formulas for the volume of cylinder and sphere.
Vs = 4/3πr³ (1)
Vc = π r² h (2)
Now, we do have a little problem here and its the fact that the sphere do not have a height like the cylinder do. But in this case so if you want to have an idea of the fraction of the volume, we will assume that the cylinder has the same height as its radius. Assuming this we have the following:
Vs / Vc = 4πr³ / 3πr²h
Vs/Vc = 4πr³ / 3πr³
From here, we can cancel out the values of π and r³:
Vs/Vc = 4/3
<h2>
Vs = 4/3 Vc</h2>
Thus we can conclude that the volume of the sphere is 4/3 the volume of a cylinder.
Hope this helps
Answer:
a = 1/2
Step-by-step explanation:
a - 3/10 = 1/5
Add 3/10 to each side
a - 3/10 +3/10 = 1/5+3/10
a = 1/5+3/10
Get a common denominator
a= 1/5*2/2 +3/10
a = 2/10 +3/10
a = 5/10
Divide the top and bottom by 5
a = 1/2
Answer:
Step-by-step explanation:
By the Mean Value Theorem, there is at least one number, c, in the interval (1,6) such that
f'(c) = [f(6) - f(1)]/ (6 - 1)
So, f(6) - f(1) = 5f'(c).
Since 2 ≤ f'(c) ≤ 4, 10 ≤ 5f'(c) ≤ 20
So, f(6) - f(1) is between 10 and 20.
Step 1) Divide the figure into separate shapes
Long rectangle: 27 x 5
Triangle: 3 x 4
Middle rectangle: 15 x 7
Small rectangle: 6 x 3
Step 2) Find the area of each shape
Long rectangle: A = 27 x 5 = 135
Triangle: A = 1/2 x 3 x 4 = 6
Middle rectangle: A = 15 x 7 = 105
Small rectangle: 6 x 3 = 18
Step 3) Add all of the areas together
A = 135 + 6 + 105 + 18 = 264 square feet
Hope this helps! :)
You should go by 0.001
so you can graph 0.001, 0.002, 0.003, and so on
