A ______ is a set of all points in space that are give distance from a given point.

Mathematics

2 answers:

liraira [26]3 years ago

7 0

Answer:The set of all points in space that are a given distance from a given point, called the center. ... A radius is a segment whose endpoints are the center and a point on the sphere.

Step-by-step explanation:

Kobotan [32]3 years ago

6 0

Answer:sphere

Step-by-step explanation:

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Write an equation for the parabola whose vertex is at (4, 12) and which passes through (5, 21)

laiz [17]

Answer:

y - 12 = 9(x - 4)

Step-by-step explanation:

The vertex (h, k) is (4, 12) and the point (5, 21) is on the graph. Assuming that this is a vertical parabola, opening up (because the coordinate 21 is greater than the coordinate 12), we insert the knowns into y - k = a(x - h)^2, obtaining

21 - 12 = a(5 - 4), or 9 = a. With a known, we can write the desired equation:

y - 12 = 9(x - 4)

8 0

3 years ago

What is the volume of a cone that has a radius of 4 cm and a height of 9 cm?

vodka [1.7K]

For any sort of pyramid or cone, the volume is 1/3 of the volume of a prism with the same base and height. Since the volume of a prism/cylinder is $V=Bh$ , the volume of a pyramid/cone is $V=\frac{1}3Bh$ .

In this case, our base is a circle, which has a radius of 4 cm.
The area of a circle is $A=\pi r^2$ where r is the radius.
$A=\pi (4)^2=\pi (4\times4)=16\pi=B$

We now know that our base is 16π cm.
We also know that our height is 9 cm.
Let's plug these into our volume formula.

$V=\frac{1}3\times16\pi \times9$

Use 3.14 to approximate pi as the question states. 16 × 3.14 = 50.24.

$V\approx\frac{1}3\times50.24\times9$

We could punch all of that into our calculator to get the same answer, but since 1/3 of 9 is clearly 3, let's just go with that.

$V\approx3\times50.24$

$\boxed{V\approx150.72\ cm^3}$