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solmaris [256]
3 years ago
9

Find the volume of the solid bounded by the sphere x^2+y^2+z^2=2z

Mathematics
1 answer:
liraira [26]3 years ago
8 0
x^2+y^2+z^2=2z\implies x^2+y^2+z^2-2z+1=1\implies x^2+y^2+(z-1)^2=1

is a sphere centered at (0, 0, 1) with radius 1. We only need to know the radius; the volume is

V=\dfrac43\pi r^3

where r=1, so the volume would be \dfrac{4\pi}3.
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Brett painted three walls. Each wall was 9 ft tall and 12 ft long. How much wall area did he paint
julsineya [31]

Answer:

First we need to calculate the are of each wall, since we alredy knew the length (l) and the width (w) which is the height of the wall in this case:

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8 0
3 years ago
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Let the positive numbers a, b, c. Prove that <img src="https://tex.z-dn.net/?f=%5Cfrac%7Ba%5E%7B2013%7D%2Bb%5E%7B2013%7D%2Bc%5E%
Serggg [28]

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7 0
3 years ago
In her metalwork class, Anja cut a square of
Paul [167]

Given:

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Solution:

Area of a square is:

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Area of the smaller square is:

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