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
grandymaker [24]
3 years ago
15

A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed

inside the cylinder as shown, what is the volume of the air space surrounding the cone inside the cylinder? (Use 3.14 as an approximation of .)
Mathematics
2 answers:
Archy [21]3 years ago
7 0
Volume of Cylinder
= πr²h
= (3.14)(5)²(16)
= 1256 cm³

Volume of Cone
= 1/3πr²h
= 1/3(3.14)(4)²(12)
= 200.96 cm³

Volume of air space
= Volume of Cylinder - Volume of Cone
= 1256 - 200.96
= 1055.04 cm³
≈ 1055 cm³ (nearest whole number)
k0ka [10]3 years ago
6 0

Answer:

Step-by-step explanation:

Alright, lets get started.

Lets find the volume of cylinder : \pi r^2h

volume of cylinder = \pi (5)^2*16=400\pi

Lets find the volume of cone : \frac{1}{3}\pi r^2h

volume of cone = \frac{1}{3}\pi 4^2*12=64\pi

Hence the volume of air space will be volume of cylinder subtracted by volume of cone.

Hence the volume of air space = 400\pi -64\pi

Hence the volume of air space = 336\pi

Plugging the value of π as 3.14

volume of air space = 336*3.14=1055.04   :   Answer

Hope it will help :)

You might be interested in
What is 10 times as many as 1 hundred is blank hundreds or blank thousand
lubasha [3.4K]

10 times as many as a number is 10 × the number.

10 times as many as 1 ten is 10 × 10 = 100

10 times as many as 1 hundred is 10 × 100 = 1000

Therefore, 10 times as many as 1 hundred is 10 hundreds or

10 times as many as 1 hundred is one thousand.

6 0
3 years ago
Read 2 more answers
How do you solve 8x-7= 3x 9?
gtnhenbr [62]
8x - 7 = 3x + 9
8x - 3x = 9 + 7
5x = 16
x = 16/5 = 3 1/5
3 0
2 years ago
VOLUME help me yall fr please
s2008m [1.1K]

..

..

..

Volume = 71.2 m3

4 0
2 years ago
Read 2 more answers
Kitty Foods sells their cat food in 3 3/4 lb bags, while Cat Caterers sells 2 1/8 lb bags. How much bigger are the bags Kitty Fo
Mariulka [41]

Answer: The answer for the question is: 1 5/8

Step-by-step explanation:

8 0
2 years ago
Mr. Wallace gave a test to his math classes. He created a histogram that showed the frequency of As, Bs, and Cs. He labeled the
Gennadij [26K]

Answer:

D

Step-by-step explanation:

I got it right on Khan Academy

3 0
3 years ago
Other questions:
  • When finding scale factor do you multiply?
    14·1 answer
  • The area (A) of a circle with a radius of r is given by the formula A=3.14r^2 and its diameter (d) is given by d=2r. Arrange the
    5·1 answer
  • Fill in the blank with the missing integer.
    6·1 answer
  • If the sides of a square are increased by 3 inches, the area becomes 64
    13·1 answer
  • 27÷624 as partial quotient
    8·2 answers
  • Find the point on the terminal side of θ = -3π / 4 that has an x coordinate of -1. Show work
    13·1 answer
  • If Jay-Jay walks 8 miles in 2 hours on average, how far will he walk if he continues at the same pace for 3 hours?
    12·2 answers
  • The variables x=9 and y=15 vary directly. Write an equation that relates the variables
    9·2 answers
  • What is the value of x<br><br> A 19<br> B 22<br> C 67<br> D71
    13·1 answer
  • During taylor's experiment, which piece of data would be qualitative?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!