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
bearhunter [10]
3 years ago
10

How can you use the formula for the volume of cylinder to remember the formula for the volume of a cone and the volume of a sphe

re?

Mathematics
2 answers:
SSSSS [86.1K]3 years ago
8 0

Answer: Choice A

The formula for the volume of a cone is 1/3 the volume of a cylinder. The volume of a sphere is 4/3 the volume of a cylinder, where the height of the cylinder is the same as the radius of the sphere

==============================================================

Explanation:

As the first screenshot shows, the volume of a cone is 1/3 the volume of a sphere. The radius of each are the same. The height of each are the same as well.

The first screenshot also mentions "The volume of the half sphere is 2/3 the volume of the cylinder". The diagram shows the height of the cylinder (h) is equal to the radius of the half sphere. Based on this, the volume of a full sphere of radius r will be 4/3 times the volume of the cylinder with the same radius and height of 2r. You can think of having a spherical tennis ball inside a cylindrical can.

The first screenshot shows this when your teacher computed 2*\frac{2}{3}*\pi*r^2*r to get \frac{4}{3}\pi*r^3

Note how \frac{4}{3}\pi*r^3 = \frac{4}{3}\left(\pi*r^2*r\right)

The stuff in parenthesis represents the volume of a cylinder with radius r and height h = r. This is one way to see that

SphereVolume = (4/3)*(CylinderVolume)

where the height of the cylinder is as discussed above.

kiruha [24]3 years ago
8 0

Answer:

The answer is a

Step-by-step explanation:

because the cone's volume is exactly one third (  13 ) of a cylinder's volume and the sphere's volume is  43 vs 2 for the cylinder

Or more simply the sphere's volume is  23 of the cylinder's volume!

You might be interested in
What addition expression is shown on the<br> number line?<br> 8<br> +<br> ?<br> 15
tekilochka [14]

Answer:

Your answer is seven

7 0
3 years ago
Rounded to the nearest tenth, how many kilograms is 300 ounces?
Ivanshal [37]

Answer: C

Step-by-step explanation: Divide the mass value by 35.274

7 0
3 years ago
What is the answer for pie in math
salantis [7]

Answer:

first how do I change my name

5 0
3 years ago
Read 2 more answers
A=LW for A if L=12m and W=6m
salantis [7]
I think the answer might be 72
6 0
3 years ago
A brother and sister attend the same school, and they walk from home to school using the same route. It takes the brother 24 min
madam [21]

Answer:

No

Step-by-step explanation:

24 - 3 = 21 minutes

21 > 18

5 0
3 years ago
Other questions:
  • The captain of a ship must use extreme caution when approaching an iceberg because only .125 of it is above the surface of the w
    15·2 answers
  • the craft marnie wants to make must be at least 22.05 inches long. is the material lace border long enought?explain your answer
    10·1 answer
  • How do I find X in this math problem?
    13·1 answer
  • Carla had 8 sticks of gum. She gave 3/8 of her gum to her friends. How many sticks of gum doesCarla have left
    11·1 answer
  • Which expression is equivalent to the following complex fraction? 1-1/x/2x
    5·2 answers
  • Below are the data collected from two random samples of 500 American adults on the number of hours they spend doing leisure and
    9·1 answer
  • Can you help me figure out the other side of this triangle? I'm racking my brain and finding nothing!​
    15·1 answer
  • Which expression is equivalent to (x+3)+y
    15·2 answers
  • Solve the equation <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%2B3%7D%20%2B4%20%3D%205" id="TexFormula1" title="\sqrt{x+3} +4
    7·2 answers
  • Hans borrowed money from a credit union for 4 years and was charged simple interest at an annual rate of 6%. The total interest
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!