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miskamm [114]
3 years ago
11

A sphere of radius 3 is inscribed in a cylinder. What is the volume inside the cylinder but not inside the sphere?

Mathematics
1 answer:
Fed [463]3 years ago
8 0

Answer:

18pi units³ or 56.5 units³ (3 sf)

Step-by-step explanation:

pi×r²×h - (4/3)(pi×r³)

r = 3 h = 2r = 6

pi(3²×6 - (4/3)(3³))

18pi units³

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I need a little help here please
erma4kov [3.2K]

Answer:

Plot points at (0,1) and (-3,3) and draw a line going through both points.

Step-by-step explanation:

Let's start by graphing the y intercept.

y=mx+b

m is the slope. b is the y intercept. Since the equation is y=-2/3x+1, we can conclude the y intercept is 1. We graph a point at (0,1).

If you didn't know the y intercept is where the line intercepts the y-axis.

Now, from the point (0,1) we go up 2 and to the left 3 as it is a negative slope. We reach (-3,3). Plot a point there. Then draw a line going through both points. There's your line!

3 0
2 years ago
For n = 3, what are the possible sublevels?
PilotLPTM [1.2K]
N represents the quantum number. for n = 3, there are 3 possible sublevels that are 3s, 3p and 3d.
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3 0
3 years ago
You have 5 pieces of wood. What is the total length of the wood? 73cm, 1.6m, 2.87m, 325cm and 4.04m
skad [1K]
First, you need to make sure that they're in the same measurement ration

1 m = 100 cm

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3 years ago
Hi, can you help to find (all the roots/zeros), please!!!
OLga [1]

Solution

Given the quadratic equation

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we need to find the zeros of the equation

To do that, we use the completing the square method

Step 1. Add 38 to both sides

\begin{gathered} \Rightarrow x^2-2x-38+38=38 \\  \\ \Rightarrow x^2-2x=38 \end{gathered}

Step 2: add the square of half of the coefficient of x to both sides

That is;

\begin{gathered} \Rightarrow x^2-2x+(\frac{1}{2}\cdot(-2))^2=38+(\frac{1}{2}\cdot(-2))^2 \\  \\ \Rightarrow x^2-2x+1=38+1 \\  \\ \Rightarrow x^2-2x+1=39 \\  \\ \Rightarrow(x-1)^2=39 \end{gathered}

Step 3: Simplify the above expression;

\begin{gathered} \Rightarrow x-1=\pm\sqrt[]{39} \\  \\ \Rightarrow x=1\pm\sqrt[]{39} \end{gathered}

4 0
9 months ago
Alma and Blanca are playing a game where they roll a pair of fair six-sided dice and try to predict the outcomes. Blanca thinks
bulgar [2K]

Answer:

Alma is correct.

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If you have 2 dice. To roll a 1 and a 5 you only get one change. But to roll one or the other you have 2 different chances. Therefore if you were to roll both dice you have a higher chance to roll a 1 or a 5 with having two dice.

3 0
2 years ago
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