Answer:
1799.08748
Rounded version: 1799
Step-by-step explanation:
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Answer:
12.6 sq. inches.
Step-by-step explanation:
I got this right on a test.
The complete question is
Three tennis balls are stored in a cylindrical container with a height of 8 inches and a radius of 1.43 inches. The circumference of a tennis ball is 8 inches. a) Find the volume of a tennis ball b) There are 3 tennis ball in the container Find the amount of space within the cylinder not taken up by the tennis balls. Round your answers to the nearest hundredth.
Part a)
we know that
length of a circumference=2*pi*r----------> r=length/(2*pi)---> 8/(2*pi)
r=1.27 in------> radius of tennis ball
volume of a tennis ball is equals to the volume of a sphere
[volume of a sphere]=(4/3)*pi*r³----> (4/3)*pi*1.27³---> 8.58 in³
the answer Part a) is
the volume of a tennis ball is 8.58 in³
Part b)
[volume of the container]=pi*r²*h-----> pi*1.43²*8----> 51.39 in³
[volume of 3 tennis balls]=8.58*3-----> 25.74 in³
the amount of space within the cylinder not taken up by the tennis balls is
51.39-25.74-----> 25.65 in³
the answer Part b) is
25.65 in³
Answer:
b
Step-by-step explanation:
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Answer: 0.75
Step-by-step explanation:
Cos A = 0.8 = 4/5
Note that:
sin = opposite / hypotenuse
cos = adjacent / hypotenuse
tan = opposite / adjacent
Since cos = adjacent / hypotenuse
Therefore, we need to find the opposite which will be:
Hypothenuse² = Opposite² + Adjacent²
5² = Opposite² + 4²
Opposite² = 5² - 4²
Opposite² = 25 - 16
Opposite² = 9
Opposite = ✓9
Opposite = 3
Since tangent = opposite / adjacent
Tan a = 3/4 = 0.75
