Hey can you please help me posted picture of question
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Question:
If the measure of arc CB is units, what is the measure of ∠CAB?
Answer:
120°
Step-by-step explanation:
The figure has been attached to this response.
The figure shows a circle centered at A and has a radius of 4 units.
Also, the length of the arc CB (as given in the question) is units.
The length <em>L </em>of an arc is given by;
L = -----------------(i)
Where;
β = angle subtended by the arc at the center of the circle and measured in degrees
r = radius of the circle
From the question;
β = ∠CAB
r = 4 units
L =
<em>Substitute these values into equation (i) as follows;</em>
=
=> =
<em>Cancel 8</em><em> on both sides</em>
=
<em>Cross multiply</em>
3 x β = 360 x 1
3β = 360
<em>Divide both sides by 3</em>
<em /><em />
β = 120°
Therefore, the measure of ∠CAB is 120°
The volume of the given figure is 2,144.60 cubic m.
Step-by-step explanation:
Step 1:
The given sphere has a radius of m.
The volume of a sphere is given by multiplying with π and the cube of the radius (r³).
The volume of a full sphere .
Step 2:
Here the radius is 8 m. We take π as 3.1415.
The volume of a full sphere cubic m.
The volume of the sphere is 2,144.5973 cubic m, rounding this off, we get the volume as 2,144.60 cubic m.