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
Mrac [35]
3 years ago
13

What is the diameter of a hemisphere with a volume of 257 m^3

Mathematics
1 answer:
Alex73 [517]3 years ago
4 0

Answer:

9.9

Step-by-step explanation:

\text{Volume of Hemisphere}\text{:}

Volume of Hemisphere:

\,\,257

257

\text{Volume of Sphere}\text{:}

Volume of Sphere:

\,\,514

514

Double volume of hemisphere to get volume of the entire sphere

\text{Volume of a Sphere:}

Volume of a Sphere:

V=\frac{4}{3}\pi r^3

V=

3

4

​

πr

3

514=

514=

\,\,\left(\frac{4}{3}\pi\right) r^3

(

3

4

​

π)r

3

514=

514=

\,\,(4.1887902)r^3

(4.1887902)r

3

Evaluate 4/3pi in calc

\frac{514}{4.1887902}=

4.1887902

514

​

=

\,\,\frac{(4.1887902)r^3}{4.1887902}

4.1887902

(4.1887902)r

3

​

Evaluate \frac{4}{3}\pi

3

4

​

π in calc

122.7084611=

122.7084611=

\,\,r^3

r

3

\sqrt[3]{122.7084611}=

3

 

122.7084611

​

=

\,\,\sqrt[3]{r^3}

3

 

r

3

​

Cube root both sides

4.9692575=

4.9692575=

\,\,r

r

\text{Then the diameter equals }9.938515

Then the diameter equals 9.938515

diameter is radius times 2

\text{Final Answer:}

Final Answer:

d\approx 9.9\text{ m}

d≈9.9 m

Round to nearest tenth

You might be interested in
Which statements about the values of 4.099 and 40.99 are true? Select all that apply. 4.099 is 110 of 40.99. 4.099 is 1100 of 40
liraira [26]

Answer:

40.99 is 10 times more than 4.099

Step-by-step explanation:

Given the values :

4.099 and 40.99

4.099 is 110 of 40.99 : 110 * 40.99 = 4508.9 (false)

4.099 is 1100 of 40.99 : 1100 * 40.99 = 45089 (false)

40.99 is 10 times more than 4.099 : (10 * 4.099) = 40.99 (true)

40.99 is 100 times more than 4.099 : (100 * 4.099) = 409.9 ( false)

4.099 is 10 times more than 40.99 : (10 * 40.99) = 409.9 (false)

8 0
3 years ago
The selling price is $750. The rate of the sales tax is 5%. How much is the sales tax?
ElenaW [278]

Answer:

37.5

Step-by-step explanation:

Selling price= 750

Sales tax= 5%

5/100 because we are looking for 5% ot of 100%

750*0.05

5 0
3 years ago
The small submarine is at –1,320 feet in relation to sea level. The submarine needs to be 180 feet below sea level in 60 minutes
emmainna [20.7K]

Answer:

The first submarine needs to travel at a rate of [-180 – (-1,320)] ÷ 60 = 19 feet per minute.

The second submarine needs to travel at a rate of [-180 – (-1,440)] ÷ 60 = 21 feet per minute.

21 – 19 = 2, so the second submarine must travel 2 feet per minute faster than the first sub.

3 0
3 years ago
Simplify Expression-
kumpel [21]
In all these expressions you have a power of a power. 
You can solve them simply multiplying the exponents.
Remember that any quantity raised to the zero is equal to 1.
.
11) (n^4)^8 = n^(4×8) = n^32

13) (q^10)^10 = q^(10×10) = q^100

15) (x^3)^-5 = x^[3×(-5)] = x^(-15)

17) (z^8)^0z^5 = z^(8×0) z^5 = z^0 z^5 = 1×z^5 = z^5

<span> 19) (c^3)^5(d^3)^0 = c^(3</span>×5) d^(3×0) = c^15 d^0 = c^15×1 = c^15
5 0
3 years ago
For nikiyas plan, the value of the constant of the variation is
Ivahew [28]

Answer: 15

Step-by-step explanation:

Which represents Nikiya’s cost per hour

7 0
3 years ago
Other questions:
  • What is the value of x?
    12·2 answers
  • Sarah weighs 30 more than 2 times as sheila. Their total weighs is 150 kilograms. What is the weigh of each in grams?
    11·1 answer
  • Which list shows the numbers in order from least to greatest?
    9·2 answers
  • Write a statement that indicates that the triangles in each pair are congruent.
    9·1 answer
  • sam purchased 5 raffle tickets a total of 120 raffle tickets were sold what is the probability that one of sams tickets will be
    7·1 answer
  • True or false: the relationship between the number of workers and the number of bars produced is proportional.
    6·1 answer
  • Convert the decimal below into a rational number.
    13·1 answer
  • Please answer now!!! Thanks.
    13·2 answers
  • From Denver to Chicago = 3 in. If the scale is 1 in = 300 miles, find
    12·1 answer
  • I need this really fast can someone help me outMalik jogged 2 miles in 20 minutes. What was his rate in miles per hour? ​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!