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]
1 year ago
14

Find the volume of the solid, please

Mathematics
2 answers:
Yuki888 [10]1 year ago
8 0

Answer:

1436.8 mi (nearest tenth)

Step-by-step explanation:

<u />

<u>Volume of a sphere</u>

\sf V=\dfrac43 \pi r^3

(where r is the radius)

Given:

  • r = 7 mi

Substituting given value into the equation and solving for V:

\begin{aligned}\implies \sf V &=\dfrac43 \pi (7)^3\\\\ & = \dfrac{1372}{3} \pi \\\\& = 1436.75504\\\\& =1436.8\: \sf mi \:(nearest\:tenth) \end{aligned}

dsp731 year ago
5 0

Answer:

V \approx=1436.8

Step-by-step explanation:

Variables and symbols:

  • r = radius
  • V = volume
  • A = surface area
  • C = circumference
  • π = pi = 3.1415926535898
  • √ = square root

Volume of a sphere in terms of radius:

V = \frac{4}{3}\pi r^3 , V \approx 4.1888r^3

To calculate the volume of a sphere:

Usually the hardest part is measuring or estimating the diameter of the sphere. Special tools exist for smaller parts like balls in ball-bearings, but it gets more complicated if the size is large. Knowing that the diameter is the largest internal measurement you can take should help.

Once you have the measurement, to find the volume use the formula above, in which π is the well-known mathematical constant equal to about 3.14159. To adjust for a half-sphere calculation, just divide the result by two.

Spheres and half-spheres are useful in engineering and architecture due to their property of being able to take equal amounts of pressure or force from each direction.

Solution:

V=\frac{4}{3} \pi r^{3} =\frac{4}{3} *\pi *7^{3}  \approx1436.75504

Round to nearest tenth: 1436.8

You might be interested in
What is 8 + x ≥ 12 on a number line???
levacccp [35]
8+x ≥ 12
-8 -8
x ≥ 4
(i tried taking the picture)

6 0
2 years ago
1. Rewrite 10^32 • 10^6 using a single exponent
OLga [1]

Answer:

1. 10^(38)

2. total amount = 10^11 or total amount = $100000000000  

Step-by-step explanation:

For every time that we multiply powers with the same base we maintain the base and sum the powers. Therefore we have:

1. (10^32)*(10^6)

10^(32 + 6)

10^(38)

2. If each of the 10^6 programmers make 10^5 then the total money they make together is the product of the number of programs with the sallary each makes. We have:

total = (10^6)*(10^5)

total = 10^(6 + 5)

total = 10^11

total = $100000000000

6 0
3 years ago
At an art exhibition there are 12 paintings of which 10 are original. A visitor selects a painting at random and before decides
Reika [66]

Answer:

a) 0.8333

b) 0.75

c) 0.8181 or 0.9090

Step-by-step explanation:

a)

The probability the visitor selects an authentic painting is  

10/12 = 0.8333

b)

Since the opinion of the expert does not depend on your choice, the events are <em>independent</em>, so the probability that the expert says is authentic and it really is, is

0.8333*0.9 = 0.75

c)

If the expert decides the painting is a copy and it is not, then there are 11 paintings of which 9 are authentic, so the probability the visitor selects a new original painting is

9/11= 0.8181

If the expert decides the painting is a copy and it is, then there are 11 paintings of which 10 are authentic, so the probability the visitor selects a new original painting is

10/11= 0.9090

8 0
3 years ago
Please help me its due in 30 mins
scoray [572]

Answer:

-11 im pretty sure

Step-by-step explanation:

8 0
2 years ago
What digits can be in the ones place of a number that has 5 as a factor?
Sophie [7]
The digits that can be in the ones place is 1 and 5.... I think.
3 0
3 years ago
Other questions:
  • Graph the linear equation find three points that solves the equation 2y=5x+11
    13·1 answer
  • A 12-oz can of soda pop costs eighty-nine cents. a 2.00 l bottle of the same variety of soda pop costs $2.29. how many times mor
    6·1 answer
  • 4 yd. 8 in. + 6 yd. 6 in ?????????????
    12·2 answers
  • WHICH INQUALITY IS EQUAL TO -1 &gt; M+4
    10·1 answer
  • Solve the system by elimination. <br> -2x+2y+3z=0<br> -2x-y+z=-3<br> 2x+3y+3z=5
    11·1 answer
  • The office supplies store where you work has a 15% off sale. If a customer purchases $250 in office supplies, how much will they
    10·1 answer
  • X - 11 &lt; 7 <br> Please help✨✨
    8·2 answers
  • Ron started a construction company. The net value of the company (in thousands of dollars) ttt months after its creation is mode
    10·2 answers
  • 5.
    12·1 answer
  • B. a cylinder with radius 3 inches and height 4 inches<br> What is the volume in cubic inches?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!