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harina [27]
3 years ago
14

Write inequalities to describe the solid left (x < 0 is left) hemisphere of a sphere of radius 4 centered at the origin

Mathematics
2 answers:
Serggg [28]3 years ago
8 0
The equation of the sphere centered at 0, and radius 4 is:

\displaystyle{ x^2+y^2+z^2=4^2, 

note that this equation describes exactly the points of the surface of the square. That is, this is an EMPTY sphere.

The solid sphere, that is the points on the surface and all points in the inside, are given by :

\displaystyle{ x^2+y^2+z^2 \leq 4^2


since we want the left part of the solid part, picture 2, we add the condition x<0,


thus "the solid left (x < 0 is left) hemisphere of a sphere of radius 4 centered at the origin" is given by the system of inequalities:

i) \displaystyle{ x^2+y^2+z^2 \leq 4^2
ii)x\ \textless \ 0

Zinaida [17]3 years ago
8 0
Wrong question, sorry.

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The height is 20 cm.

Step-by-step explanation:

First, we have to know that the volume formula is V = πr²h and the base area of cylinder is a circle. So we can let πr² be 77 cm² . Then we have to substitute the following values into the formula :

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