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4 years ago

What is the volume of a sphere with an 18 inch diameter ?

Mathematics

2 answers:

Marianna [84]4 years ago

8 0

<h2>Volume = 3,052.08 in³</h2><h2></h2><h2>Work is attached in the image provided.</h2>

photoshop1234 [79]4 years ago

3 0

18 inch diameter = 9 inch radius
Sphere Volume = <span> 4/3 • <span>π <span>• r³
</span></span></span><span>Sphere Volume = <span> 4/3 * PI * 9^3
</span></span><span>Sphere Volume = <span> 4/3 * PI * 729
</span></span><span><span>Sphere Volume = </span>3,053.628 </span>

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A ∩ ∅ = A<br><br> Is this true or false

Georgia [21]

It's False

Hope thiis Helps

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4 years ago

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What is the cost of constructing a fence 6 feet, 6 inches, high around a lot measuring 90 feet by 175 feet, if the cost of erect

boyakko [2]

Answer:

The total cost is $3,504.63

Step-by-step explanation:

Length of fence = 90 feet

Breadth of fence = 175 feet

Height of fence = 6 feet, 6 inches

1 inch = 0.0833333 feet

6 inches = 6*0.0833333 =0.4999998 feet

So, Height of fence = 6 feet + 0.49 feet =6.49 feet ≈ 6.5 feet

Perimeter = $2(Length \times breadth)=2(90 +175) = 530 feet$

Cost of erecting the fence is $1.25 per linear foot

So, Cost of erecting the fence in 530 feet = $530 \times 1.25 = 662.5$

Total surface area = $2(length +breadth) Height =530 \times 6.5=3445ft^2$

The cost of materials is $0.825 per square foot of fence

Cost of material for 3445 sq.feet = $3445 \times 0.825 =2837.7525$

So, total cost = 2842.125+662.5 = 3504.63

Hence The total cost is $3,504.63

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3 years ago

Name the postulate or theorem you can use to prove the triangles congruent.

r-ruslan [8.4K]

The question is referred to a particular pair of triangles.

They are two "siamese" right triangles. The side that they share is the hypotenuse of both triangles.

The other sides that are marked as congruent are the heights of each triangle.

Then, you can use the Hypotenuse Leg theorem to prove the congruence of both triangles.

The hypotenuse leg theorem states that any two rigth triangles that have congruent hypotenuse and a corresponding, congruent leg are congruent triangles.

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3 years ago

Zane received a quote to move his belongings to his new house. The estimate from

erik [133]

9514 1404 393

Answer:

packing: $50 per hour
loading: $75 per hour
packing LCM: 12; loading LCM: 15

Step-by-step explanation:

We can let P and L represent the hourly costs of packing and loading, respectively. The two estimates can be represented by the equations ...

6P +5L = 675

4P +3L = 425

The LCM of the coefficients of P is LCM(6, 4) = 12.

The LCM of the coefficients of L is LCM(5, 3) = 15.

Each LCM is the product of the numbers, divided by their greatest common factor. For 4 and 6, the product is 24, and both even numbers have a factor of 2, so the LCM of 4 and 6 is 24/2 = 12. The numbers 3 and 5 have no common factors, so the LCM is simply their product.

_____

The LCM is useful if you're going to solve the equations by "elimination". Here, the LCM of 12 means we can eliminate P by making its coefficient be 12 in both equations. Multiplying the first equation by 2, we can subtract 3 times the second equation to eliminate P:

2(6P +5L) -3(4P +3L) = 2(675) -3(425)

12P +10L -12P -9L = 1350 -1275

L = 75 . . . . . simplify

Similarly, we can eliminate L by making its coefficients be 15.

5(4P +3L) -3(6P +5L) = 5(425) -3(675)

20P +15L -18P -15L = 2125 -2025

2P = 100 . . . . simplify

P = 50 . . . . . . divide by 2

The hourly rates are ...

$50 per hour for packing

$75 per hour for loading

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3 years ago

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Ronch [10]

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