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ivolga24 [154]
3 years ago
7

The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius r? V = r2 V = r3

V = r3 V = r2

Mathematics
1 answer:
Gnom [1K]3 years ago
8 0
So hmm check the picture below

the radius "r" is half the diameter, meaning, the diameter is 2r long
now, if the height "h" is twice "d" or 2d, then that means h = 2(2r)

thus    \bf \textit{volume of a cone}\\\\
V=\cfrac{\pi r^2 h}{3}\qquad 
\begin{cases}
h=height\\
r=radius\\
------\\
h=2(2r)
\end{cases}\implies V=\cfrac{\pi r^2[2(2r)]}{3}
\\\\\\
V=\cfrac{4\pi r^3}{3}

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iogann1982 [59]

Answer:

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Step-by-step explanation:

Given data

Tina's problem is

-16 - (-9)

Firstly let her open up the bracket

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Hence the answer is -7

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2 years ago
X+3=-x-3 what does x equal
wlad13 [49]

Answer:

x=-3

Step-by-step explanation:

Place like terms on the same side.

Keep in mind when a term is moved from its original position, it changes sign.

x+x=-3-3

2x=-6

x=-3

6 0
3 years ago
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Which of the following describes the transformation of g(x) = -(2)x+4 -2 from the parent function f(x)= 2^x
Nataly [62]
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so
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Mike's scores on 5 quizzes he took are shown above. In which month was Mike's quiz score equal to the average of his 5 quizzes?
Mariana [72]

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Step-by-step explanation:

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4 0
3 years ago
What is the range of possible sizes for side x
Xelga [282]

Answer:

0.5 < x < 16.5

Step-by-step explanation:

For a triangle (by the triangular inequality theorem), we know that the sum of any two sides must be larger than the other side.

When we have a triangle and we know two sides, let's define the measures of these sides as S1 and S2.   (such that S2 > S1)

By the first property, we will have that S1 + S2 > S3

Where S3 is the third side, the one that we do not know.

But there is also a lower restriction, given by:

S2 - S1 < S3 < S1 + S2

This is because we also must have:

S1 + S3 > S2

and

S2 + S3 > S1

We can rewrite both of these to get:

S2 - S1 < S3

S1 - S2 < S3

Because S2 > S1, the first inequality is more restrictive, so we need to use that one.

Then we get the inequality:

S2 - S1 < S3 < S1 + S2

Ok, in this case, the shorter side is 8.0 then:

S1 = 8.0

And the longer side is 8.5, then:

S2 = 8.5

And the third side is x, S3 = x

Replacing those in our inequality, we get:

8.5 - 8.0 < x < 8.5 + 8.0

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This is the range of possible sizes for side x.

3 0
3 years ago
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