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:
Step-by-step explanation:
The intersection is the point where two equations meet. It is calculated by substituting terms into the equations involved. For the given systems of equation, calculations are as follows:
2x - y = 6
y = 2x - 6
We substitute the equation above to the second equation.
5x + 10y = –10
5x + 10( 2x - 6 )= –10
Simplifying,
5x + 20x - 60 = -10
25x = 50
x = 2
Therefore, the intersection has the value of x equal to 2.
No solution bc the equations aren't equal to each other
1/5( 5/2 x 4/7 -11/7) + 3/28
Multiply the terms (5/2 x 4/7) in bracket then subtract it from 11/14. Result will be 10/7.
Then multiply 1/5 with 10/7. The result will be 2/7.
2/7 + 3/28 = 11/28
T
Answer:
it's not 100 or 102, just took the test and got them both wrong.
Step-by-step explanation:
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