Answer:
A - x (x+3) = Area of the rectangle
B- 28 inches squared
Step-by-step explanation:
B- using the formula from A
x = 4
x + 3 = 4 +3 = 7
4 times 7 is 28
<em>$3.00 for ice cream
</em>
<em>
</em>
<em>+ $2.00 for the 4 ounces of toppings
</em>
<em>
</em>
<em>$5.00
</em>
<em>
</em>
<em>hope it helps!!</em>
<em>SMILE!!</em>
Answer:
34191.7πin³/sec
Step-by-step explanation:
Volume of circular come = 1/3pi x r² x h
When we differentiate this formula we have
dv/dt = 1/3π[r²dh/dt + 2rhdr/dt]
We have the following information
r = 138
H = 143 inch
dr/dt = 1.4
dh/dt = -2.8
When we plug into the formula
1/3π[130² x -2.8 + 2x138x143x1.4]
= 34191.7πin³/sec
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