1. Volume of 1 tennis ball = volume of sphere = 33.51 in.³
2. Volume of the cylinder = 150.8 in.³
3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball) = 50.27 in.³
<h3>What is the Volume of a Cylinder and Volume of a Sphere?</h3>
- Volume of Cylinder = πr²h
- Volume of Sphere = 4/3πr³
Diameter of the tennis ball = 4 in. (given)
1. Volume of 1 tennis ball = volume of sphere = 4/3πr³
r = 1/2(4 in.) = 2 in.
Volume of 1 tennis ball = 4/3π(2)³ = 33.51 in.³
2. Volume of the cylinder = πr²h
Radius of the cylinder (r) = 1/2(4 in.) = 2 in
Height of the cylinder (h) = 3(4 in.) = 12 in
Volume of the cylinder = πr²h = π(2²)(12) = 150.8 in.³
3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball)
= 150.8 - 3(33.51) = 50.27 in.³
Learn more about volume of a cylinder and a sphere on:
brainly.com/question/64165
Answer:
Please see explanation for the answer. The code is written in python and is as given below:
Step-by-step explanation:
The solution is obtained on the Python with the following code
import matplotlib.pyplot as plotter
import numpy as npy
x_s = npy.linspace(-5,5,100) #Defining a linear sample space with boundaries as -5 to 5 and 100 as number of samples.
def sigmo(z):return 1/(1 + npy.exp(-z)) #Defining sigmoid function for the f(x).
plotter.plot(x_s, sigmo(x_s))
plotter.plot([-5,5],[.5,.5])
plotter.xlabel("z")
plotter.ylabel("sigmoid(z)")
plotter.show()
Answer:
sorry I'm not in whatever grade your in
Answer:
11) Here given Function,
And, 
For f(x) = g(x)
When we solve this equation,
We found,
x = 12.5227 ≈ 12.53
Thus, the required solution is, x = 12.53
12) Here the height of rocket A in x second,
And, The height gain by the rocket B in x seconds,
If at x seconds both A and B gain the same height,
That is, f(x) = g(x)
⇒ 
⇒
⇒ 
⇒ 
⇒ x = 1.125 ≈ 1.13
Thus, the required solution is x = 1.13 seconds (approx)
Answer:
4(2n-5)
Step-by-step explanation:
So we know Valerie has 5 less than double the number of brad's books. Brad has n books, so make that 2n to double it.
Because she has 5 less than that, the expression is now 2n-5. The is the total of Valerie's books.
We know that Brad has 4 times the number of Valerie's books, so just multiply that expression by 4.
The final answer is 4(2n-5).
You're welcome. :)
