When x = 3 , y = 15 , divide both by 3.
When x= 1 , y = 5. Now multiply both by 4/5
When x = 4/5 , y=4
Answer:
±90
Step-by-step explanation:
√(-225) · √(-36) = (15i)·(6i) = 90i² = 90·(-1) = -90
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On the other hand, ...
... √(-225) · √(-36) = √((-225)·(-36)) = √8100 = 90
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If you consider all the roots at each stage, the result is ±90. Since you're working with complex numbers here, it is reasonable to recognize every number has two square roots.
... √(-225) = ±15i
... √(-36) = ±6i
... √(-225) · √(-36) = (±15i)·(±6i) = ±90i² = ±90
The cone equation gives

which means that the intersection of the cone and sphere occurs at

i.e. along the vertical cylinder of radius

when

.
We can parameterize the spherical cap in spherical coordinates by

where

and

, which follows from the fact that the radius of the sphere is 3 and the height at which the sphere and cone intersect is

. So the angle between the vertical line through the origin and any line through the origin normal to the sphere along the cone's surface is

Now the surface area of the cap is given by the surface integral,




Answer:
29 m³
Step-by-step explanation:
The applicable formula is ...
V = (1/3)Bh
Assuming the height is 10 m, the volume is ...
V = (1/3)(8.7 m²)(10 m) = 29 m³
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The shape of the base is irrelevant.
A rectangular solid with a square base has a volume of 8000 cubic inches<span>.</span>