The volume of the cone is 104.7 cubic feet. The volume of the half-sphere is 261.8 cubic feet and the area of the entire figure is 366.5 cubic feet.
Step-by-step explanation:
Step 1:
The figure consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.
Step 2:
The volume of a cone is determined by multiplying with π, the square of the radius (r²) and height (h).
The radius is 5 feet and the height is 4 feet.
The volume of the cone = cubic feet. Rounding this off, we get 104.7 cubic feet.
Step 3:
The area of a half-sphere is half of a full sphere.
The volume of a sphere is given by multiplying with π and the cube of the radius (r³).
Here the radius is 5 feet.
The volume of a full sphere cubic feet.
Step 4:
The volume of the half-sphere =
The volume of the half-sphere is 261.792 cubic feet. Rounding this off, we get 261.8 cubic feet.
Step 5:
The total volume = The cone's volume + The half sphere's volume,
The total volume cubic feet. By rounding this off to the nearest tenth we get 366.5 cubic feet.
This could be written as y= -2x+6 in standard form
The terms point, line and plane, are the undefined terms in geometry. They are so basic that these terms are used to define other terms in geometry. You can describe a point to be indicating a location or position without any thickness. A line is a series of points that travel in one direction infinitely at both ends. A plane is a flat surface of area. The diagram of line ST intersecting plane M at point R is shown in the attached picture.
Answer is in a photo. i couldn’t attach it here, good luck!
Answer:
The slopes are the same and the y-intercepts are the same.
Step-by-step explanation:
Looking at the two systems of equations:
3x - 6y = 12
and
9x - 18y = 36
We can see that the two equations have a GCF, that GCF would be 3.
Since, 3 ( 3x - 6y = 12) = 9x - 18y = 36
or vice versa: (9x - 18y = 36)/3 = 3x - 6y = 12
Therefore, both the slopes and the y-intercepts are the same just dilated by a factor of 3.