All categories

3 years ago

What expression represents the volume of the cone, in

Mathematics

1 answer:

jolli1 [7]3 years ago

7 0

Answer:

Step-by-step explanation:

Volume of a cone = ⅓πr²h

Where,

r = x

h = 2x

Plug in the values into the formula for volume

Volume = ⅓*π*x²*2x

Volume = ⅓*π*2x³

Volume = (1*π*2x³)/3

Volume = $\frac{2\pi x^3}{3}$

$\frac{2}{3}\pi x^3$

You might be interested in

Approximate the value of <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B5%7D%20" id="TexFormula1" title=" \sqrt{5} " alt=" \

k0ka [10]

2.2367 , therefore to the nearest hundredth it would be 2.237

5 0

3 years ago

Which line is NOT a line of symmetry? photo above<br><br><br> Please HELP Me

MrRissso [65]

Answer: I believe it is "It also has a reflectional symmetry

Step-by-step explanation: Because even if you rotate the picture if you fold it in half it will fit perfectly with each other

4 0

2 years ago

Read 2 more answers

Can someone please show me the steps in finding the answers to these two problems ?

ratelena [41]

Answer:

y = 8^(x-1)
x = 24

Step-by-step explanation:

The first step is always to look at the question to see what you are given and what you are asked for. The next step is to identify the relevant relations between what you have and what you need to find.

1) You are given a sequence of (x, y) points where x increases by 1 from one point to the next, and y increases by a factor of 8. This tells you the value of y form a geometric sequence that is described by an exponential function.

The general form of the n-th term of a geometric sequence is ...

an = a1·r^(n-1)

where a1 is the value for n=1, and r is the common ratio.

If this were a geometric sequence, we could write the general term using a1=1 and r=8:

an = 1·8^(n-1)

Instead, this is a relation between x and y. It is the same relation as for the geometric sequence, but with different variable names. We have y instead of an, and we have x instead of n. So, the equation is ...

y = 8^(x -1) . . . . . . . or . . y = (1/8)8^x

2) This equation is of the form ...

k·∛x = 6

Since k is also a cube root, it is easiest to cube both sides of the equation:

9x = 6³ = 216

Now, you can divide by 9 to find x:

x = 216/9

x = 24

5 0

3 years ago

Read 2 more answers

Someone solve this equation much appreciated!

daser333 [38]

Answer:

$\frac{2A}{h} = b$

Step-by-step explanation:

this can be done by simple manipulation .
in the given equation, A is the subject.
so, by the above statement you can understand the meaning of making something as a subject.