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Angelina_Jolie [31]
3 years ago
9

Oatmeal is packaged in a cylindrical container, as shown in the diagram. The diameter of the container is 13 centimeters and its

height is 24 centimeters. To the nearest tenth of a cubic centimeter, what is the volume of the container?
Mathematics
1 answer:
aivan3 [116]3 years ago
5 0

Hi there!

<u>FACTS</u> :

The formula for the volume of a cylinder is : V = \pi × r² × h


<u>STEPS TO ANSWER:</u>

You have the diameter of the cylinder, which is 13cm.

In order to have the radius of the cylinder to put in our formula, you'll need to divide the diameter by 2 because the diameter is two times the radius:

13 ÷ 2 = 6.5

Now that you have the radius (6.5) and the height (24cm) of the cylinder, you can put these information in the formula and calculate de volume :

V = \pi × r² × h

V = \pi × <u>6.5²</u> × 24

V = \pi × <u>42.25 × 24</u>

V = \pi × 1,014

V = 3,185.574950......


Since you need to round your answer to the nearest tenth, which means that you will have only one decimal, the volume of the cylindrical container would be about 3,185.6cm³.


There you go! I really hope this helped, if there's anything just let me know! :)

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8 0
2 years ago
Please help show work too please thank you
Black_prince [1.1K]
(3x-9) +(x+19)+x=180
5x+10=180
-10=-10
5x=170
5 = 5
x=34

2x+(2x+10)+x=180
5x+10=180
-10=-10
5x=170
5 = 5
x=34

yes they are similar
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3 years ago
What is the unit price for 12 apples for $3.12?
horsena [70]

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$3.85? 12/3.12 = $3.85

The answer would have came out of 3.84615384615

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Classify the real numbers as rational or irrational numbers.
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Step-by-step explanation:

6 1
3 years ago
The figure the Floor Plan of a balcony ,it consists of △ABC and semi-circle ,
ivanzaharov [21]

Step-by-step explanation:

(a) In right triangle ABC,

AC^2 =AB^2 +BC^2  \\  =  {12}^{2} +  {5}^{2}   \\  = 144 + 25 \\  = 169 \\  AC =  \sqrt{169}  \\  \therefore \: AC =  13\: m \\  \\ AC \: is \: the \: diameter \: of \: semicircle \\  \therefore \: r =  \frac{1}{2} \times  AC = \frac{1}{2} \times 13 = 6.5 \: m \\  Circumference \:of \:semi-circle \\ C = \pi \: r = 3.14 \times 6.5 = 20.41 \:m\:

Perimeter of Balcony = 12 + 5 + 20.41 = 37.41 m

(b) Area of balcony

=\frac{1}{2}\times 12\times 5+\frac{1}{2} \pi r^2 \\\\=\times 6\times 5+\frac{1}{2} \times 3.14\times (6.5)^2 \\\\=30+\frac{1}{2} \times 3.14\times42.25\\\\= 30+\frac{1}{2} \times 132.665\\\\= 30 + 66.3325\\\\= 96.3325 \:m^2 \\\\\approx 96. 33\:m^2

8 0
3 years ago
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