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Juliette [100K]
3 years ago
6

I need the volume of these two, please give me a quick answer. I don't have much time​

Mathematics
2 answers:
madam [21]3 years ago
8 0

Answer:

1) V≈923.62824

2) V= 28.27433

alexandr1967 [171]3 years ago
6 0

Answer:

1. 923.16 or 294 Pi

2. 3052.08 or 972 Pi

Step-by-step explanation:

Formula for volume of a cone = Pi r^2 h/3

If diameter is 14, radius is 7

Pi 7^2 18/3

Pi 49 6

Pi 294

923.16

Formula for volume of a sphere = 4/3 pi r^3

If diameter is 18, radius is 9

4/3 pi 9^3

4/3 pi 729

972 pi

3052.08

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<h3><u>Answer:</u></h3>

\boxed{\pink{\sf \leadsto Yes \ there \ is \ a \ solution \ of \ the \ given \ inequality .}}

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A inequality is given to us and we need to convert it into standard form and see whether if it has a solution . So let's solve the inequality.

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\bf\implies |2y + 3 | - 1 \leq 0 \\\\\bf\implies |2y+3|\leq 1 \\\\\bf\implies (|2y+3|)^2 \leq 1^2  \\\\\bf\implies (2y+3)^2 \leq 1  \\\\\bf\implies (2y)^2+3^2+2(2y)(3) \leq 1  \\\\\bf\implies 4y^2+9+12y - 1 \leq 0  \\\\\bf\implies 4y^2+12y+8 \leq 0 \\\\\bf\implies 4( y^2 + 3y + 2 ) \leq 0  \\\\\bf\implies y^2+3y +2 \leq 0 \:\:\bigg\lgroup \purple{\bf Standard \ form \ of \ inequality }\bigg\rgroup   \\\\\bf\implies y^2y+2y+y+2 \leq 0  \\\\\bf\implies y(y+2)+1(y+2)\leq 0  \\\\\bf\implies ( y+2)(y+1)\leq 0  \\\\\bf\implies \boxed{\red{\bf y \leq (-2) , (-1) }}

Let's plot a graph to see its interval . Graph attached in attachment .

Now we can see that the Interval notation of would be ,

\boxed{\boxed{\orange \tt \purple{\leadsto}y \in [-2,-1] }}

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