Divide and simplify radical expressions that contain a single term.
Answer:
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Step-by-step explanation:
Answer:
y = -7/2x + 17/2
Step-by-step explanation:
Slope = (-9 - - 2)/(5 - 3)
= -7/2
y-intercept: -2 - (-7/2)(3)
= -2 + 21/2 (-2*2+21)/2
= 17/2
Given:
A figure of combination of hemisphere, cylinder and cone.
Radius of hemisphere, cylinder and cone = 6 units.
Height of cylinder = 12 units
Slant height of cone = 10 units.
To find:
The volume of the given figure.
Solution:
Volume of hemisphere is:

Where, r is the radius of the hemisphere.



Volume of cylinder is:

Where, r is the radius of the cylinder and h is the height of the cylinder.



We know that,
[Pythagoras theorem]
Where, l is length, r is the radius and h is the height of the cone.

Volume of cone is:

Where, r is the radius of the cone and h is the height of the cone.



Now, the volume of the combined figure is:



Therefore, the volume of the given figure is 2110.08 cubic units.
Answer:
Any coordinate point with (positive x, negative y)