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Ugo [173]
4 years ago
10

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

nd your answer to two decimal places. A. 31.25 in. B. 19.79 in. C. 9.95 in. D. 29.84 in
Mathematics
2 answers:
Degger [83]4 years ago
5 0

Answer:

c. 9.95 in

Explanation:

formula for area of a cylinder: πr^2*h

trasher [3.6K]4 years ago
4 0
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! :)
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Answer:

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An elephant can run 1/4 of a mile in 36 seconds. At this rate, which expression can be used to determine how fast an elephant ru
nirvana33 [79]

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3 years ago
Any help would be appreciated ❤ ❤ Thank you
Paladinen [302]
The solid shape is a cone and a half sphere. So the equation would be (cone volume) + (1/2 sphere volume):
cone =  \frac{1}{3} \pi {r}^{2} h \\ sphere =  \frac{4}{3} \pi {r}^{3}  \\ object = ( \frac{1}{3} \pi  {r}^{2} h) +  \frac{1}{2} ( \frac{4}{3} \pi  {r}^{3} )
If the volume of the cone is 270pi and the height of the cone is 10, then:
270\pi =  \frac{1}{3} \pi {r}^{2} (10) \\ 27 =  \frac{1}{3}  {r}^{2}  \\ 80 =  {r}^{2}  \\ r = 9
The radius of the object is 9 cm. Therefore, we can plug into the formula for the total volume:
object = 270\pi +  \frac{1}{2} ( \frac{4}{3} \pi {(9)}^{3} ) \\  = 270\pi +  \frac{2}{3} (729\pi) \\  = 270\pi \: + 243\pi \\  = 513\pi
The total volume is 513 pi cm^3
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