Look at the graph of x2 - 4x + 4. What is the vertex?
1 answer:
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Volume of a sphere and a cone
We have that the equation of the volume of a sphere is given by:
We have that the radius of a sphere is half the diameter of it:
Then, the radius of this sphere is
r = 6cm/2 = 3cm
<h2>Finding the volume of a sphere</h2>We replace r by 3 in the equation:
Since 3³ = 3 · 3 · 3 = 27
If we use π = 3.14:
Rounding the first factor to the nearest hundredth (two digits after the decimal), we have:
4.18666... ≅ 4.19
Then, we have that:
Then, we have that:
<h2>Finding the volume of a cone</h2>We have that the volume of a cone is given by:
where r is the radius of its base and h is the height:
Then, in this case
r = 3
h = 6
and
π = 3.14
Replacing in the equation for the volume:
Then, we have:
3² = 9
Answer: the volume of the cone that has the same circular base and height is 56.52 cm³
Answer:
Option (B)
Step-by-step explanation:
By the theorem of the inscribed angle,
"An angle inscribed in a circle measures half of the central angle subtended by the same arc."
Since m(arc XY) = 52°
Angle subtended by the the arc at the center (Central angle) = m∠XWY = 52°
Measure of inscribed angle = m∠XZY
By theorem, m∠XZY =
m∠XZY =
= 26°
Therefore, Option (B) will be the answer.