The volume of a sphere is calculated like so:
v = 4*pi*r^3/3
so half sphere will have half that volume:
v = (<span>4*pi*r^3/3)(1/2)
</span>v = <span>4*pi*r^3/6
</span>plug in the data:
v = <span>4*pi*(10)^3/6
</span>v = 2094.4
that is the volume of the half sphere
<h2>True.</h2><h2 />
In fact, if a design still looks the same after some rotation, then it has Rotational Symmetry. In this context, this design can be an object, a figure, a thing, etc. So these characteristics is the typical quality or feature of this object, figure or thing. An example of rotational symmetry is the Ferris Wheel when it rotates about the center.
Answer:
(a) x = 30°
(b) mRS = 30°
mST = 120°
mTU = 120°
mUR = 90°
Step-by-step explanation:
(a) In the picture attached, the diagram is shown.
Given that m arc RS = x, from the ratios:
m arc ST = 4x
m arc TU = 4x
m arc UR = 3x
The addition of the four arcs must be equal to 360°, then:
x + 4x + 4x + 3x = 360°
12x = 360°
x = 360°/12 = 30°
(b) m arc RS = x = 30°
m arc ST = 4x = 4*30° = 120°
m arc TU = 4x = 4*30° = 120°
m arc UR = 3x = 3*30° = 90°