1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Olenka [21]
3 years ago
5

A cylindrical container of five rubber balls has a height of 30 centimeters and a diameter of 6 centimeters. Each ball in the co

ntainer has a radius of 3 centimeters. Find the amount of space in the container that is not occupied by rubber balls. Round your answer to the nearest whole number.
Mathematics
1 answer:
Artyom0805 [142]3 years ago
3 0

Answer:

There is 170 cm³ free space in the container.

Step-by-step explanation:

Cylindrical container: height = 18 cm ; diameter = 6 cm.

3 balls each have a radius of 3 cm.

Volume of a cylinder = π r² h

V = 3.14 * (3cm)² * 18 cm

V = 508.68 cm³

Volume of rubber ball = 4/3  π r³

V = 4/3 * 3.14 * (3cm)³

V = 113.04 cm³

113.04 cm³  * 3 balls = 339.12 cm³

508.68 cm³ - 339.12 cm³ = 169.56 cm³ or 170 cm³

You might be interested in
Someone please help me im so confused​
ivann1987 [24]

Answer:

x=11

Step-by-step explanation:

5x+62=3x+47+37

5x+62=3x+84

2x=22

x=11

5 0
3 years ago
Read 2 more answers
Find a general solution of y" + 4y = 0.
klio [65]

Answer:

y(x)=C_{1}cos2x+C_{2}sin(2x)

Step-by-step explanation:

It is a linear homogeneous differential equation with constant coefficients:

y" + 4y = 0

Its characteristic equation:

r^2+4=0

r1=2i

r2=-2i

We use these roots in order to find the general solution:

y(x)=C_{1}cos2x+C_{2}sin(2x)

8 0
3 years ago
A railroad crew can lay 6 miles of track each day. They need ti lay 174 miles of track. The length, L (in miles), that is left t
Alex17521 [72]
X + y = 13
- x + y = 3
6 0
3 years ago
What is the volume of the following rectangular prism? 3 1/3 units^2 <br> 1 2/5 units
nlexa [21]
The Answer : 23.6 units
6 0
2 years ago
Read 2 more answers
Consider a tree T storing 100,000 entries. What is the worst-case height of T in the following cases?
Darina [25.2K]

Answer:

Step-by-step explanation:

a.) The worst-case height of an AVL tree or red-black tree with 100,000 entries is 2 log 100, 000.

b.) A (2, 4) tree storing these same number of entries would have a worst-case height of log 100, 000.

c.) A red-black tree with 100,000 entries is 2 log 100, 000

d.) The worst-case height of T is 100,000.

e.)  A binary search tree storing such a set would have a worst-case height of 100,000.

6 0
3 years ago
Other questions:
  • Why would someone choose to use a graphing calculator to solve a system of linear equations instead of graphing by hand? Explain
    10·2 answers
  • What is 245.168 rounded to the nearest hunderdth
    9·2 answers
  • Kimberly arranges 18 markers as a array. Draw an array that kimberly might make. Then write a multiplication equation to describ
    9·2 answers
  • When at the third floor, how far is the base of the ladder from the base of building
    6·1 answer
  • The sum of a number and nine and is multiplied by -2 and is -8
    6·1 answer
  • Find the following sum of the following expressions: 3x+5 and -4x-10
    9·1 answer
  • Write an equation you could use to find the length of the missing side<br> of the right triangle.
    9·1 answer
  • Denzel has a new puppy that weighs 12 pounds. The vet says that the puppy is now at about 20% of its adult weight. What will be
    10·1 answer
  • Can anyone know the answer please
    11·1 answer
  • Please help im desperate for my grade to go up
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!