Answer:
The ball holds 113.0 cubic inches of air
Step-by-step explanation:
Firstly we need to know the shape of the ball
A ball is spherical in shape
So to know the number of cubic inches, we have to find the volume of air in the ball
Mathematically, we can do this by finding the volume of the ball using the formula for the volume of a sphere
The formula for the volume of a sphere is ;
V = 4/3 * pi * r^3
in this case, r = d/2 = 6 /2 = 3 inches
where r is the radius of the ball and d is the diameter of the ball
So, substituting these values , we have
V = 4/3 * 3.14 * 3^3 = 113.0 cubic inches
The common ratio (R) is -3.
-2 times -3 is 6.
6 times -3 is -18.
-18 times -3 is 54.
R=-3.
This is a geometric sequence.
Volume of the cone: 1/3 of area of the circle * the height
(1/3)π5²*5=(125/3)π
volume of the cylinder: area of the circle *the height: π5²*10=250π
add up: (125/3)π+(125/3)π+250π≈1047.2
D is the correct answer
Answer:
P’ = (4, 5)
Q’ = (5, 3)
R’ = (1, 1)
Step-by-step explanation:
You would use the Pythagorean threroem 4^2 + 5^2 = C^2. 16 + 25 = 41 the square root of 41 is 6.40
