Volume of Sphere is V=(4/3)*PI*r^3
The radius of the volleyball is 13 inches
<span>So V=(4/3) * 3.14 * 13^3 =
9198 cubic inches</span>
Volume of a cylinder is V=pi * r^2 *h
Since they say the ball fits perfectly
The radius is 13 and the height is 26 ( the diameter of the
ball)
So V=3.14 * 13^2 * 26 = 13,797 cubic inches
13797 – 9198 = 4,599 cubic inches of empty space
Answer:
The answer is below
Step-by-step explanation:
Transformation s the movement of a point from its initial location to a new location. If an object is transformed, the all its points are also transformed. Types of transformation are rotation, reflection, translation and dilation.
Two shapes are congruet if they have the same shape and size, two objects are congruent if they can be moved without changing their shape or size. Congruent transformations are transformation that create congruent objects. The three types are:
- Translation: sliding an object either up, down, left or right.
- Reflection: Flipping an object over a line
- Rotation: turning an object about a point
Answer:
The 99% confidence interval of the population standard deviation is 1.7047 < σ < 7.485
Step-by-step explanation:
Confidence interval of standard deviation is given as follows;

s =
Where:
= Sample mean
s = Sample standard deviation
n = Sample size = 7
χ = Chi squared value at the given confidence level
= ∑x/n = (62 + 58 + 58 + 56 + 60 +53 + 58)/7 = 57.857
The sample standard deviation s =
= 2.854
The test statistic, derived through computation, = ±3.707
Which gives;


1.7047 < σ < 7.485
The 99% confidence interval of the population standard deviation = 1.7047 < σ < 7.485.
214.2 yd? I’m not 109% percent sure