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
Ainat [17]
3 years ago
5

The radius of the large sphere is double the radius of the small sphere. How many times does the volume of the large sphere than

the small sphere? 2 4 6 8
Mathematics
2 answers:
pshichka [43]3 years ago
7 0

Answer:

8 times larger.

Step-by-step explanation:

The radius of the large sphere is double the radius of the small sphere.

Question asked:

How many times does the volume of the large sphere than the small sphere

Solution:

<u>Let radius of the small sphere = </u>x<u />

<u>As the radius of the large sphere is double the radius of the small sphere:</u>

Then, radius of the large sphere = 2x

To find that how many times is the volume of the large sphere than the small sphere, we will <em><u>divide the volume of large sphere by  volume of small sphere:-</u></em>

For smaller sphere: Radius = x

Volume \ of \ sphere = \frac{4}{3} \pi r^{3}

                             =\frac{4}{3} \pi x^{3}

For larger sphere: Radius = 2x

Volume \ of \ sphere = \frac{4}{3} \pi r^{3}

                             =\frac{4}{3} \pi (2x)^{3}

Now, we will divide volume of the larger by the smaller one:

=\frac{4}{3} \pi (2x)^{3}\div\frac{4}{3} \times\frac{\pi }{1 } \times x^{3}\\  \\ =\frac{4}{3} \pi\times8x^{3} \times\frac{3}{4\pi }\  \times\frac{1}{x^{3} }

\frac{4}{3}\pi\   is \ canceled\  by\  \frac{3}{4\pi } \ and\ also\ x^{3} is\ canceled\ by \ \frac{1}{x^{3} }

<u>Now, we have</u>

= \frac{8}{1}

Therefore, the volume of the large sphere is 8 times larger than the smaller sphere.

kirill [66]3 years ago
3 0

Answer:8

Step-by-step explanation:

You might be interested in
The value of 25+144 is 13. O True O False​
Vladimir79 [104]
<h2>true</h2>

I did it on my calculater and the answer came as 13

hope that helps :)

5 0
3 years ago
Read 2 more answers
2. After the American Revolution why was there a need to establish a stable banking system?
lora16 [44]

Answer:

Federalists wanted a

centralized banking

system and Alexander

Hamilton, as Secretary of

the Treasury, proposed a

national bank in 1789.

• Antifederalists, like

Thomas Jefferson,

opposed this plan.

– They favored a

decentralized banking

system in which states

established and

regulated banks within

their borders.

Step-by-step explanation:

5 0
3 years ago
I need help, if possible explain step by step in the best way
amm1812

Answer:

x is 6 because

y is 30

p is 120

Step-by-step explanation:

60 degrees and 10x are the same and 6×10 = 60

(4y) and 60 degrees must equal 180 so y has to be 30

(4y) and p are the same

5 0
2 years ago
Marlee drove 60 miles song 2 gallons of gas. whitch is the unit rate in fraction forms?
Orlov [11]

Answer:

the unit rate is 30 miles 1 gallon

5 0
2 years ago
One way to check on how representative a survey is of the population from which it was drawn is to compare various characteristi
weqwewe [10]

Answer:

a) See step by Step explanation

b) z(s) = 48.88

c) We reject H₀. The sample is not representative of American Adult Population

Step-by-step explanation:

From sample

sample mean .    x = 49.28

sample standard deviationn   s = 17.21

sample size  n₁  = 4857

Population mean according to Census data

μ  = 37.2

a) Test Hypothesis

Null Hypothesis .                  H₀ .                    x =  μ  = 37.2

Alternative Hypothesis        Hₐ .                    x ≠ μ

b) We have sample size (4857) we can use normal distribution

z (c) for    α = 0.01   α/2 . = 0.005  is from z-table . z(c) = 2.575

To calculate  z(s) =  ( x  - μ ) / s /√n

z(s) =  12.08 * √4857 / 17.21

z(s) = 12.08* 69.64 / 17.21

z(s) = 48.88

z(s) > z(c)

We should reject H₀. The sample is not representative of American Adult population

7 0
3 years ago
Other questions:
  • What is now the length in meters?
    13·2 answers
  • A certain cylindrical tank holds 20,000 gallons of water which can be drained from the bottom of the tank in 20 minutes the volu
    7·1 answer
  • What is standard form
    12·2 answers
  • Simplify -r+8(-5r-2)
    6·1 answer
  • Please help!<br> -10x <img src="https://tex.z-dn.net/?f=%20%5Cgeq%20" id="TexFormula1" title=" \geq " alt=" \geq " align="absmid
    13·1 answer
  • The sum of 2 numbers is 10 the difference is 6 what are the numbers calculator
    13·1 answer
  • How can I tell if a triangle with side lengths 10, 24, and 26 is a right triangle?
    7·1 answer
  • What is the solution to this equation?
    8·1 answer
  • Can someone help asap!! ​
    7·1 answer
  • A quadrilateral has vertices E(–4, 2), F(4, 7), G(8, 1), and H(0, –4). Which statements are true? Check all that apply.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!