Answer:
690
Step-by-step explanation:
Round from the tens place.
<span> By definition, the volume of a cone is given by:
</span>

<span> Where,
r: radius of the circular base of the cone.
h: cone height
The cone radius is given by:
</span>

<span> Where,
d: diameter of the circular base.
Substituting values we have:
</span>

<span>
Then, the volume will be:
</span>

<span>
Answer:
The volume of the cone is given by:
</span>

<span>
</span>
Answer:
The values of x are x = -2 and x= 1.
Step-by-step explanation:
The given equation -x²+4 = x+2 can be written in the form of two functions as
y = -x²+4 which is a function representing parabola and
y = x+2 which is a straight line.
Now we will solve the given equation to find their points of intersection on graph. Their points of intersections will be the answer.
-x²+4 = x+2
-x²+4-x = x+2-x
-x²-x+4 = 2
-x²-x+4-2 = 2-2
-x²-x+2 = 0
Or x²+x-2=0
Now we will factorize the equation.
x²+2x-x-2=0
x(x+2)-1(x+2) = 0
(x+2)(x-1) = 0
x+2 = 0 ⇒x = -2
x-1 = 0 ⇒x = 1
For x = 1, y will be 3
and for x = -2, y will be 0
Now we can see the graph for the given coordinates (-2,0) and (1,3).
Volume of the cone:
V = 3.14 x 3^2 x 9/3 = 84.78
Volume of half sphere on top of cone:
V = (4/3 x 3.14 x 3^3 )/2 = 56.52
Total volume = 56.52 + 84.78 = 141.3 cm^3