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pav-90 [236]
3 years ago
5

The volume of a cone is 16 pi cubic inches is is 12 inches what is the radius of the cone

Mathematics
1 answer:
Furkat [3]3 years ago
3 0

Answer:

B

Step-by-step explanation:

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A right circular cylinder has a volume of 500 cu in. If the base has a radius of 4 in., what's the altitude of the cylinder? Rou
trasher [3.6K]
Hello!

The area of a cylinder formula- Area = Pi * radius squared * height 

<span>In this case we are looking for height (altitude) </span>

<span>plug in our known values </span>

<span>500 = area </span>
<span>4 = radius </span>
<span>Pi ~ 3.141592654 </span>

<span>to find height... </span>

<span>500 = 3.141592654 * (4)^2 * height </span>

<span>500 = 3.14 * 16 * height </span>

<span>500 = 50.26 * height </span>

<span>divide both sides by 50.26.. </span>

<span>9.947 = height 
</span>

<span>9.95 is the Correct Answer ( letter C)
</span>
Hope this Helps! Have A Wonderful Day! :)
4 0
3 years ago
Read 2 more answers
If 332 students brought shirts and there are 830 students at the school what percents of the student brought shirts
Anika [276]

Answer: 40%

Step-by-step explanation: What I like doing with problems like this is work backward, so that is how this explanation is going to work.

830*0.40=332 so that is how I got 40% now lets dig a little deeper.

How to find percent is take the whole and times it by the decimal of percent you want (eg. if 400 is my whole I want to find out what 30% of it is I would do 400*0.30)

So then we take our 830 times it by what we think best fits and that's how I solved it!

If you need any further help let me know!

6 0
3 years ago
The point D(2, -5) is rotated 90° counterclockwise around the origin. What are the coordinates of the resulting point, D′?
jeyben [28]

Answer:

D' = (5, 2)

Step-by-step explanation:

Try to join D and the origin using a line. Counterclockwise means in an opposite direction of rotation of the clock hands. So draw another line towards the right which is perpendicular to the previous line to fine the answer. Remember the length of the lines should be equal.

8 0
3 years ago
You need to construct an open-top rectangular box with a square base that must hold a volume of exactly 475 cm3. The material fo
zepelin [54]

Answer:

The dimensions of the box are:

x =  8,93 cm       and     h  =   5,95 cm

C(min) =  850,69 cents

Step-by-step explanation:

The volume of the box is:

V = x²*h          where    x is the side of the square base  and h the height

then    h  =  V/ x²  ⇒    h = 475 / x²

The total cost of box C is:

C  = C₁  +  4*C₂      Where C₁  and C₂  are the costs of the base and one lateral side respectevily

Then cost C =  8*x²   + 4* 6*h*x

The cost C as a function of x is

C(x)  =  8*x²  + (24* 475 /x² )*x

C(x)  =  8*x²  +  11400/x

Tacking derivatives on both sides of the equation

C´(x)  =  16*x -  11400/x²

C´(x)  =  0     ⇒    16*x  -  11400/x²  = 0

16*x³  =  11400     ⇒   x³  =  11400/16

x³ =  712,5

x  =  8,93  cm

and    h   =  475 / (8,93)²      ⇒      h  =  5,95  cm

C(min)  =  8*79,77  +  4* ( 8,93)*5,95

C(min)  =  638,16  +  212,53

C(min)  =  850,69 cents

To check if value x = 8,93 would make C(x) minimum we go to the second derivatives

C´´(x) =  16  +  22800/x³ > 0

Then we have a minimum of C at  x = 8,93

4 0
3 years ago
John carried 3 large crates of milk into his store that weighed a total of 252
kumpel [21]

Answer:

134.4oz

Step-by-step explanation:

First divide 252/3 to get the weight of each crate.

252/3=84lbs. per crate

If there's 10 gallons of milk in each crate then this must mean each gallon is 8.4lbs.

8.4lbs converts to 134.4 oz.

Hope this helps!

-MoCKEry

5 0
3 years ago
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