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damaskus [11]
3 years ago
13

Goran's company makes solid balls out of scrap metal for various industrial uses. For one project, he must make aluminum balls t

hat have a radius of 7.5 . If aluminum costs $0.12 per in³, how much will the aluminum cost to make one ball?
Use 3.14 for π , and do not round your answer.
Mathematics
1 answer:
djverab [1.8K]3 years ago
3 0

Answer: \$211.95

Step-by-step explanation:

For this exercise it is important to remember the following formula, which is used to calculate the volume of a sphere:

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

Where "r" is the radius of the sphere.

You know that the radius of one of those aluminum balls is:

r=7.5\ in

Then, subsituting this value into the formula and using \pi =3.14, you get that its volume is:

V=\frac{4}{3}(3.14) (7.5\ in)^3\\\\V=1,766.25\ in^3

Since 1\ in^3 of aluminum costs $0.12, you need to multiply the volume calculated by $0.12 in order to find how much the aluminum will cost to make one ball. This is:

(1,766.25\ in^3)(\$0.12)=\$211.95

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irina [24]

Answer:

just use a calculator

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3 years ago
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Vikki [24]
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4 0
3 years ago
A lighthouse is located on an island 200 feet from the shore of the mainland as
Deffense [45]

Answer: Approximately d = 208.72

============================================================

Work Shown:

Make sure your calculator is in radian mode

A quick way to check is to compute cos(pi) and you should get -1

cos(angle) = adjacent/hypotenuse

cos(x) = 200/d

cos(0.29) = 200/d

d*cos(0.29) = 200

d = 200/cos(0.29)

d = 208.715135166392 which is approximate

d = 208.72

I rounded to two decimal places since x is rounded in that manner as well. Round however else you need if your teacher instructs.

4 0
3 years ago
Sam had monkeys and lions in his zoo, He counted legs one day to discover that he could see 76 feet on the ground. He knew that
cricket20 [7]
If he counts 76 feet, that means there’s 38 animals in total, because animals have 2 feet. 76/2=38

Hope that helps..!
5 0
3 years ago
This is confusion please help
oksano4ka [1.4K]

Answer:

c = 5√5

Step-by-step explanation:

When we have a right triangle, there is a property about its measurements that is <em>always</em> true, and its called the "Pythagorean Theorem"

First, let's understand the basic terms we use to describe the sides of a triangle:

we can call one leg "a", the other leg "b" and the slanted side "c"

("c" is also called the hypotenuse--and it's always opposite the 90-degree angle)

the pythagorean theorem:

a² + b² = c²

here, our "a" is 5, our "b" is 10 {and we don't know what c is}

let's try plugging these values into our formula:

a² + b² = c²

5² + 10² = c²

25 + 100 = c²      

125 = c²

now, we know what c² is--but we want to know c,

so we must take the square root of both sides

√125 = √c²

√125 = c

now, while √125 <em>is </em>our answer, we can simplify further!

this is because 125 can be made up of 5 · 25

so, \sqrt{125} = \sqrt{5*25}

and

\sqrt{5*25}=\sqrt{5}*\sqrt{25}

we can take out the square root of 25 (5):

=\sqrt{5}*5

we write this as such: 5\sqrt{5}

so, in simplest radical form, c = 5√5

(√125)

hope this helps!! have a lovely day :)

4 0
2 years ago
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