By definition, the volume of a cone is given by:
Where,
r: radius of the circular base
h: height of the cone
Let's define a variable:
x: diameter of the base
We have then that the radio is:
The height is:
Substituting values:
Rewriting:
Answer:
An expression that represents the volume of the cone, in cubic units is:
Answer:
c
Step-by-step explanation:
-7.5 is less than 6.5
The little lines on each side of the rhombus mean that all the sides are the same length.
We can set line LM and MN equal to solve for X, then we can solve the length of a side.
3x-3 = x+7
Add 3 to each side:
3x = x +10
Subtract x from each side:
2x = 10
Divide both sides by 2:
x = 10/2
x = 5
Now we have the value for x, replace x in one of the side formulas:
x +7 = 5+7 = 12
Each side = 12 units.
The perimeter would be 12 + 12 + 12 + 12 = 48 units.
The area of the trapezoid is the product of the height and the average of the two bases:
<span>30 (25 + 33)/2 = 30 (58)/2 = 30 (29) = 870 square yd. </span>
<span>But we want to exclude the area of the fountain. </span>
<span>Since it's circular its area is π times the square of its radius, or 16π square yd. </span>
<span>So the area of the park, excluding the fountain, is </span>
<span>870 - 16π square yd, </span>
<span>or about 820 square yd.</span>
True. The domain of the function gives all real numbers.
