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choli [55]
3 years ago
7

Y'all if you know how to do this math question pls help me out

Mathematics
1 answer:
Nana76 [90]3 years ago
7 0

Answer:

<em>5i * 7i = 64</em>

Step-by-step explanation:

<em>i </em>stands for inches, but Ion kno if that's the variable u need. But what I did makes the most sense. But Ion kno if it's right cuz that's my best guess, so y'all don't be gettin mad if it's wrong.

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A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?
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The answer is 15 in³.

The volume of the cone is:
V_1= \pi r_1 ^{2}  \frac{h_1}{3} = \frac{ \pi  r_1^{2} h_1}{3}
where:
V₁ - the volume of the cone
r₁ - the radius of the cone
h₁ - the height of the cone

The volume of the cylinder is:
V_2= \pi  r_2h_2^{2}
where:
V₂ - the volume of the cone
r₂ - the radius of the cone
h₂ - the height of the cone

Since <span>the cone fits exactly inside of the cylinder, they have the same radius and the height:
r</span>₁ = r₂
h₁ = h₂

Also:
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Now, let's write two volume formulas together:
V_1= \frac{ \pi r^{2} h}{3}
<span>V_2= \pi rh^{2}</span>

We can include V₂ into V₁:
V_1= \frac{V_2}{3}

⇒ V_2=3*V_1
V_2=3*5 in^{3}
V_2=15 in^{3}
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