Answer: 1539π cubic inches.
Step-by-step explanation:
In the figure, we have a hemisphere joined with a cylinder of the same diameter 18 inches.
Radius = 9 inches (half of diamter)
Volume of hemisphere = 
Volume of cylinder =
, where r= radius h= height
Volume of hemisphere= 
Volume of cylinder = 
Combined volume = 486π+1053π=1539π cubic inches.
Hence, the volume of the solid = 1539π cubic inches.
Answer:
5
Step-by-step explanation:
The question in the problem wants to calculate the identity for cos(4t) in terms of cos(t) and base on the given and further computation, I would say that the answer would be 2cos^2(2t)-1. I hope you are satisfied with my answer and feel free to ask for more if you have question and further clarification
Answer:
Area of the triangle is 10 square units
Step-by-step explanation:
Recall that the formula for the area of a triangle is: "base x height / 2", and in this case, we can consider the triangle's base as the segment that joins the vertices (5, 4) and (5, 8) which gives a segment length of 4 units. The height of the triangle is then the distance between the third vertex (0,7) and the base, which is exactly 5 units. Then the area becomes:
Area = 4 x 5 / 2 = 10 square units.