1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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! :)

You might be interested in
Use a half-angle identity to find the exact value
Tatiana [17]

Given:

\cos 15^{\circ}

To find:

The exact value of cos 15°.

Solution:

$\cos 15^{\circ}=\cos\frac{ 30^{\circ}}{2}

Using half-angle identity:

$\cos \left(\frac{x}{2}\right)=\sqrt{\frac{1+\cos (x)}{2}}

$\cos \frac{30^{\circ}}{2}=\sqrt{\frac{1+\cos \left(30^{\circ}\right)}{2}}

Using the trigonometric identity: \cos \left(30^{\circ}\right)=\frac{\sqrt{3}}{2}

            $=\sqrt{\frac{1+\frac{\sqrt{3}}{2}}{2}}

Let us first solve the fraction in the numerator.

            $=\sqrt{\frac{\frac{2+\sqrt{3}}{2}}{2}}

Using fraction rule: \frac{\frac{a}{b} }{c}=\frac{a}{b \cdot c}

            $=\sqrt{\frac {2+\sqrt{3}}{4}}

Apply radical rule: \sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}

           $=\frac{\sqrt{2+\sqrt{3}}}{\sqrt{4}}

Using \sqrt{4} =2:

           $=\frac{\sqrt{2+\sqrt{3}}}{2}

$\cos 15^\circ=\frac{\sqrt{2+\sqrt{3}}}{2}

5 0
3 years ago
I need help ASAP thanks!!
Genrish500 [490]

Theorem

The measure of an exterior angle of a triangle equals the sum of measures of the remote interior angles.


Angle STV is an exterior angle of triangle SRT.

The two remote interior angles to exterior angle STV are angles S and R.

Since the triangle is isosceles, with sides ST and TR equal, angles S and R are equal, so they both measure 27 deg.


<STV = 27 + 27


<STV = 54

8 0
3 years ago
A cube has side length of 2m. What is the surface area of the cube?
SVEN [57.7K]

Answer:

24 square meters.

Step-by-step explanation:

The surface area of the cube consists of 6 congruent squares with side length of 2 m.

The are of one such square is

2\cdot 2=4\ m^2.

Hence, the surface area of the cube is

6\cdot 4=24\ m^2.

8 0
3 years ago
Read 2 more answers
The floor of the school art closet is be tiled. The closet shaped like a parallelogram. The parallelogram has a base of 16.5 fee
son4ous [18]
The area of the parallelogram is given by:
 A = b * h
 Where,
 b: base
 h: height
 Substituting values we have:
 A = (16.5) * (6)
 A = 99 feet ^ 2
 The number of packages will be:
 N = 99/5
 N = 19.8
 Rounding:
 N = 20
 Answer:
 
It will be needed 20 packages of tile to tile the music room floor
3 0
3 years ago
Is 3 1/2 cups more or less than 1 liter? Note: 1 cup is about 236.6 milliliters
Evgesh-ka [11]
Less by far because 3.5 cups would be less than half

6 0
4 years ago
Read 2 more answers
Other questions:
  • For the equation 4(2x-4)=8x+k, what value of K will create an equation with infinitely many solutions? Please show steps
    5·2 answers
  • write 5 to the 8 power as a quotient of two exponential terms with the same base in four different ways. use negative and/or zer
    14·1 answer
  • out of 45 times at bat raul got 19 hits find raul's batting average as a decimal rounded to the nearest thousandths
    5·1 answer
  • PLEASE PLEASE HELP!! Sketch a triangle and label correctly. Work must be shown for this problem. Round answers to the nearest hu
    6·1 answer
  • Put these numbers in ascending order, smallest first.<br> 0.56 0.506 0.65 0.605
    15·2 answers
  • You roll a standard number die. What is the probability of rolling a number less than 5?
    15·2 answers
  • Ms.Discher is 5.5 feet tall and Her shadow is 4 feet long.How tall is the tree in her yard?
    14·1 answer
  • Determine whether each number is rational or irrational
    9·1 answer
  • The product of (x + 3)(-x2 + 4x − 2) is:
    8·2 answers
  • The number 20,2Δ8 is a 5-digit number with the tens digit covered by a triangle. Given that the number is divisible by 7, what i
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!