Answer:
Step-by-step explanation:
Answer:
about 13.8 in³
Step-by-step explanation:
The volume of air is the difference between the volume of the cylinder of radius 1.3 inches and height 7.8 inches, and that of three spheres, each with a radius of 1.3 inches.
The formula for the volume of a cylinder is ...
V = πr²h
The formula for the volume of a sphere is ...
V = (4/3)πr³
For h = 6r, the difference is ...
(cylinder volume) - 3×(sphere volume) = πr²·(6r) - 3×(4/3)πr³
= πr³(6 -4)
= 2πr³ = 2π(1.3 in)³ = 4.394π in³
≈ 13.8 in³ . . . . air space in the cylinder of tennis balls
The volume of a cube (V) is given in terms of its side length (s) as
... V = s³
You have
... 27n²⁷ = s³
You may recognize that 27 = 3³, so this can be written as
This result matches your second selection
... 3n⁹ units
Answer:
It would be 15 miles because if you do 12 divided by 4 you'd get 3 so then you add 3 and 12 together to get 15 as your answer. :)
Step-by-step explanation:
We are given the equation that describes the height as follows:
h = -0.1 d^2 + 1.1d + 0.5
When the ball lands, its height becomes zero, therefore:
To get the distance, we will simply substitute with h=0 in the equation and then factorize it to get the possible distance values as follows:
0 = -0.1 d^2 + 1.1d + 0.5
(x-11.44)(x+0.44) = 0
either the distance x = 11.44 m (accepted value)
or x = -0.44 m (rejected value as distance cannot be 0)