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 the mean of the set of numbers?
Llana [10]
The mean of your question would be -2.5
3 0
2 years ago
Read 2 more answers
What is the solution to the following system?<br> -4y=8 <br> x+3y-3z=-26<br> 2x-5y+z=19
Viktor [21]
⓵
-4ỿ = 8

Simplify the left side in order to isolate the ỿ!

-4ỿ = 8
+4 +4

Ỿ = 12

⓶
× + 3y - 3z = -26

Simplify the left side in order to isolate the ×, ỿ and z!

× + 3y - 3z = -26
÷3 ÷3

× + ỿ - 3z = -8,66 periodic
÷-3 ÷-3

× + ỿ + z = 2,88 periodic

⓷
2× - 5ỿ + z = 19

Simplify the left side in order to isolate the ×, ỿ and z!

2× - 5ỿ + z = 19
÷2 ÷2

× - 5ỿ + z = 9,5
÷-5 ÷-5

× + ỿ + z = -1,9
3 0
2 years ago
Read 2 more answers
What is the formula for elimintation
inysia [295]

Answer:

The elimination method for solving systems of linear equations uses the addition property of equality. You can add the same value to each side of an equation. So if you have a system: x – 6 = −6 and x + y = 8, you can add x + y to the left side of the first equation and add 8 to the right side of the equation.

3 0
2 years ago
Read 2 more answers
Amber, Bernie, and Carlos are working on a problem together. Their goal is to correctly apply the difference of cubes formula to
NeX [460]

Answer: Carlos is correct

Step-by-step explanation:

2x^5-250x^2

The first step is to factorize out 2x^2

2x^2(x^3-125)

This can be rewritten as

2x^2(x^3-5^3),

Recall, difference if cube (a^3-b^3)

= (a-b)(a^2 +ab + b^2)

from our equation,

a= x

b = 5.

So the difference of cubes will be

2x^2[(x-5) (x^2 + 5x + 5^2)]

=2x^2[(x-5) (x^2 + 5x + 25)]

Carlos followed these steps. So he is correct. Carlos is correct because he correctly factored the GCF, identified a and b, and applied the difference of cubes method.

Amber is incorrect because 125 is equal to b3, not b.

Bernie is incorrect because x2 is not the GCF of the polynomial. The GCF is 2x^2.

6 0
3 years ago
Simplify.<br> (w^2 + 3w)-(w^2+5w-4<br><br> 8w-4<br> 2w^2 +8w-4<br> -2w+4<br> -2w
chubhunter [2.5K]

Answer:

-2w + 4

Step-by-step explanation:

Remove parenthesis because they make life semi-confusing but remember to distribute the negative: w^2 + 3w -w^2 - 5w + 4

Combine like terms: w^2 - w^2 cancel out ; 3w - 5w = -2w ; 4

-2w + 4

3 0
3 years ago
Other questions:
  • Jada plans to serve milk and healthy cookies for a book club meeting. She is preparing 12 ounces
    13·1 answer
  • during one day ,the temperature in circle city rose from -5° to 7° how many degrees did the temperature rise?
    13·1 answer
  • A large freezer holds 1,375 gallons of ice cream. The ice cream is packed in 25-gallon containers.    How many containers are in
    15·2 answers
  • Simplify the expression. Write your answer using only positive exponents:7^6 x 7 x 7^-4
    8·1 answer
  • At a fundraiser breakfast, the bill for three glasses of orange juice and five pancake specials is $7.60, whereas the bill for o
    11·2 answers
  • When using fraction strips how do you know that two fractions are equivalent
    15·1 answer
  • Find the area of the trapezoid with bases of 10 in and 14 in, and a height of 5 in.
    8·1 answer
  • Please help thanks!!!
    10·2 answers
  • Solve the following system: y = x 3 4x y = 18 (6, 3) (3, 6) (â’3, 6) (3, â’6).
    14·1 answer
  • If you want a challenge then click me!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!