Volume = π×22<span>×6 = </span><span>75.398223686155 feet^3</span>
Problem One
Find AM
AM = 71.5 - 22 = 49.5
Step Two
State the Givens.
AM = 49.5
MN = 71.5
MB = x
MP = 97.5
Step Three
Set up the Proportion
AM : NM :: x : PM
49.5 : 71.5 :: x : 97.5
Substitute and solve
49.5 / 71.5 = x / 97.5 Cross Multiply
49.5 * 97.5 = 71.5 * x Combine the numbers on the left.
4860.375 = 71.5 * x Divide by 71.5
4860.375 / 71.5 = x
x = 67.98
Problem Two
Remark
This is just a straight application of the Pythagorean Theorem
a^2 + b^2 = c^2
a = 10
b = 24
c = ??
10^2 + 24^2 = c^2
100 + 576 = c^2
676 = c^2
sqrt(c^2) = sqrt(676)
c = 26 <<<< answer
Answer:
The equilibrium point is at x = 6
Step-by-step explanation:
Given


Required
Determine the equilibrium point
The equilibrium point is determined by

Substitute values for Demand and Supply

Cross Multiply


Take positive square root of both sides

Hence;
<em>The equilibrium point is at x = 6</em>
The height of larger will be 3 cm
As,
= ∛8 cm³ * 27 cm³ / (2 cm) ³
= 3cm