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
julia-pushkina [17]
3 years ago
14

“An architect is planning to incorporate several stone spheres of different sizes into the landscaping of a public park, and wor

kers who will be applying a finish to the exterior of the spheres need to know the surface area of each sphere. The finishing process costs $92 per square meter. The surface area of a sphere is equal to 4πr2, where r is the radius of the sphere.“In the table, select the value that is closest to the cost of finishing a sphere with a 5.50-meter circumference as well as the cost of finishing a sphere with a 7.85-meter circumference. Make only two selections, one in each column.”Circumference 5.50 m Circumference 7.85 m Finishing cost$900$1,200$1,800$2,800$3,200$4,500
Mathematics
1 answer:
Artist 52 [7]3 years ago
6 0

Answer:

Part 1) The value that is closest to the cost of finishing a sphere with a 5.50-meter circumference is $900

Part 2) The value that is closest to the cost of finishing a sphere with a 7.85-meter circumference is $1,800

Step-by-step explanation:

Step 1

Find the radius of each sphere

we know that

The circumference of a circle is equal to

C=2\pi r

<u><em>Find the radius of the sphere with a 5.50-meter circumference</em></u>

For C=5.50\ m

assume

\pi =3.14

substitute and solve for r

5.50=2(3.14)r

r=5.50/[2(3.14)]=0.88\ m

<u><em>Find the radius of the sphere with a 7.85-meter circumference</em></u>

For C=7.85\ m

assume

\pi =3.14

substitute and solve for r

7.85=2(3.14)r

r=7.85/[2(3.14)]=1.25\ m

step 2

Find the surface area of each sphere

The surface area of sphere is equal to

SA=4\pi r^{2}

<u><em>Find the surface area of sphere with a 5.50-meter circumference</em></u>

For r=0.88\ m

assume

\pi =3.14

substitute

SA=4(3.14)(0.88)^{2}

SA=9.73\ m^{2}

<u><em>Find the surface area of sphere with a 7.85-meter circumference</em></u>

For r=1.25\ m

assume

\pi =3.14

substitute

SA=4(3.14)(1.25)^{2}

SA=19.63\ m^{2}

step 3

Find the cost of finishing each sphere

we know that

To find out the cost , multiply the surface area by $92 per square meter

<u><em>Find the cost of sphere with a 5.50-meter circumference</em></u>

9.73*(92)=\$895.16

therefore

The value that is closest to the cost of finishing a sphere with a 5.50-meter circumference is $900

<u><em>Find the cost of sphere with a 7.85-meter circumference</em></u>

19.63*(92)=\$1,805.96

therefore

The value that is closest to the cost of finishing a sphere with a 7.85-meter circumference is $1,800

You might be interested in
The school is planting a circular garden. If the
Tatiana [17]

Answer:

<u>The area of the circular garden is 28.3 square feet</u>

Step-by-step explanation:

Let's recall that the area of a circle is π * r², therefore if the diameter of the circular garden is 6 feet, the area is:

Diameter = 6 feet ⇒ radius = (6/2) = 3 feet

Area of the circular garden = π * 3²

Area of the circular garden = 3.1416 * 9

Area of the circular garden = 28.2744

<u>Area of the circular garden = 28.3 square feet</u>

8 0
3 years ago
Anyone know the answers to this ?!
torisob [31]

Answer:

Hey there!

3 x 5/4 = 3 x 5 ÷ 4 = 5 x 3 ÷ 4

5 x 4/3 = 5 x 4 ÷ 3 = 4 x 5 ÷ 3

4 x 3/5 = 4 x 3 ÷ 5 = 4 x 3 ÷ 5

Hope this helps :)

5 0
3 years ago
You have a choice between 2 jobs, one pays $8.25/hr but requires you to spend $20 to get a uniform. The other pays $7.50/hr. At
Veronika [31]

Step-by-step explanation + Answer:

x = 1st job

y = 2nd job

x + y = 22......x = 22 - y

7x + 8.25y = 171.50

7(22 - y ) + 8.25y = 171.50

154 - 7y + 8.25y = 171.50

-7y + 8.25y = 171.50 - 154

1.25y = 17.50

y = 17.50 / 1.25

y = 14 <== 14 hrs at the 8.25 per hr job

x + y = 22

x + 14 = 22

x = 22 - 14

x = 8 <=== 8 hrs at the 7 per hr job

5 0
1 year ago
What is the volume of this oblique cone?
castortr0y [4]
Hey I tried, hope it helps... can't work it out, all the best

7 0
3 years ago
Read 2 more answers
2 meters<br> 2 meters<br> 5 meters<br> 4 meters<br> What is the area of the shape?
Alex73 [517]
C
A million apologies if I’m incorrect
6 0
3 years ago
Read 2 more answers
Other questions:
  • Which expressions are equivalent to 5^2/5^8?
    8·1 answer
  • If a &lt; b, and c is positive, then ac &lt; be and
    12·1 answer
  • Please help me with this
    8·1 answer
  • What is the positive solution to the equation 0 = –x2 + 2x + 1? Quadratic formula: x = StartFraction negative b plus or minus St
    7·2 answers
  • What is the quotient of the following division problem? 17374 ÷ 448 = ?
    14·1 answer
  • PLEASE HELP!!! Help would be really appreciated here!!! <br> Find M angle V
    7·1 answer
  • In June, Jim ran a mile in 7 minutes and 45 seconds. After training the entire summer he ran a mile in 5 minutes and 51 seconds
    8·1 answer
  • An economist studying fuel costs wants to estimate the mean price of gasoline in her state on a certain day. On that day, she ta
    15·1 answer
  • Solve for h<br><br> h – 5 = -30<br><br> Make sure to show your work for full points!
    12·2 answers
  • Show the work please help me
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!