Help Me for number 2

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

Artist 52 [7]

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

$C=2\pi r$

Find the radius of the sphere with a 5.50-meter circumference

For $C=5.50\ m$

assume

$\pi =3.14$

substitute and solve for r

$5.50=2(3.14)r$

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

Find the radius of the sphere with a 7.85-meter circumference

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

$SA=4\pi r^{2}$

Find the surface area of sphere with a 5.50-meter circumference

For $r=0.88\ m$

assume

$\pi =3.14$

substitute

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

$SA=9.73\ m^{2}$

Find the surface area of sphere with a 7.85-meter circumference

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

Find the cost of sphere with a 5.50-meter circumference

$9.73*(92)=\$895.16$

therefore

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

Find the cost of sphere with a 7.85-meter circumference

$19.63*(92)=\$1,805.96$

therefore

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

6 0

2 years ago

Your parents are renting an apartment for you when you go away to college an annual contract is $502.00/month with a 2 month pen

Cloud [144]

lease = 502.00*12 = 6024.00

m2m = 615*12 = 7380

7380 - 6024 = 1356 difference

4 0

3 years ago

What to pieces of information do you need to notify the equation of a line

Butoxors [25]

Answer:

The slope and the y-intercept when you’re in y-intercept form.

4 0

2 years ago

A vehicle is travelling from rest. After 10 seconds its velocity will be 20ms find acceleration?

Paladinen [302]

Initial velocity (u) = 0m/s

Final velocity (v) = 20m/s

Time (t) = 10 s

Acceleration (a)

= (v - u)/t

= [(20m/s) - (0m/s)]/10s

= (20m/s)/10s

= (20m/s²)/10

=> 2m/s²

8 0

2 years ago

SAM now has 30ml of pop to share equally into glasses.

crimeas [40]

So whole ml's

30 mls
find what 30 is evenly divisble by
factor 30
30=2 times 3 times 5
therefor
30 is divisble by 2,3,5,6,10,15

so he can divide the glass into 2 sevings which is 30/2=15 ml in each

servings ml    fraction
2 15 15/30=1/2
3 10 10/30=1/3
5 6    6/30=1/5
6 5 5/30=1/6
10    3 3/30=1/10
15 2 2/30=1/15

7 0

2 years ago