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ASHA 777 [7]
3 years ago
12

Which explanation can be used to informally derive the formula for the volume of a cone? A. A cone consists of a circle as a bas

e and triangles for its body. The formula for the volume of a cone can be derived by adding the formula for the area of circle and the area of the number of triangles that will cover the body of a cone. B. A cone is approximately the same size as 1.5 spheres. Using the formula for the volume of a sphere and multiplying it by 1.5 will give the formula for the volume of a cone. C. A cone is similar to a triangular pyramid except that a cone has curved edges. Therefore, the formula for the volume of a cone can be derived by using the formula of a triangular pyramid and using the radius instead of the base length. D. A cylinder is exactly 3 times bigger than a cone with the same height and radius. Therefore, the formula for the volume of a cone is 1/3 of the volume of a cylinder with the same height and radius.
Mathematics
2 answers:
TEA [102]3 years ago
7 0

Answer:

D. A cylinder is exactly 3 times bigger than a cone with the same height and radius. Therefore, the formula for the volume of a cone is 1/3 of the volume of a cylinder with the same height and radius.

Step-by-step explanation:

A cylinder and a cone with the same radius will have different volumes.  This is because the cone comes to a point whereas the cylinder does not.

A filled cone will hold 1/3 of the amount of a cylinder with the same radius.  This means that we can derive the formula for a cone by multiplying the formula for the volume of a cylinder by 1/3.

Nikolay [14]3 years ago
5 0

Answer:

Correct Answer is: D. A cylinder is exactly 3 times bigger than a cone with the same height and radius. Therefore, the formula for the volume of a cone is 13 of the volume of a cylinder with the same height and radius.

Step-by-step explanation:


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Which of the following numbers is rational? Assume that the decimal patterns continue.
Phantasy [73]

9514 1404 393

Answer:

  (c) √49

  (d) 2.544544...(3-digit repeat)

Step-by-step explanation:

Square roots of perfect squares are rational, as are repeating decimals.

6 0
2 years ago
What is "shift y= 5x 3 units up"
lesya [120]
It's asking you to shift the graph of; y = 5x up 3 units. if you add 3 to the equation, all y-values will be increased by 3 this shifts the graph up exactly 3 units.

y = 5x + 3
8 0
3 years ago
Read 2 more answers
A sweet factory produces 5 different chocolate bars. the different flavors are always produced in the same proportions, for ever
IRISSAK [1]

a. There are 933 chocolate bars

b. There are 1200 chocolate bars

c. There are 1580 chocolate bars

<h3>How to calculate the number of chocolate bars</h3>

Since there are 5 different flavors,

let

  • x = orange flavored bars,
  • y = coconut flavored bars,
  • z = coffee flavored bars,
  • a = strawberry flavored bars and
  • b = honeycomb flavored bars and
  • X = total number of bars

Since the different flavors are always produced in the same proportions, for every 4 coconut flavored bars 5 honeycomb 6 orange 1 coffee and 4 strawberry

So, the ratio of their proportions are x:y:z:a:b = 6:4:2:1:5

So, the total ratio is T = 6 + 4 + 1 + 4 + 5 = 20

<h3>a. What is the total number of chocolate bars if there are 280 orange flavored bars?</h3>

Since we have 6 orange flavored bars, the ratio of orange flavored bars to total is 6/20

So, the amount of orange flavored bars is x = 6/20 × X

Making X subject of the formula, we have

X = 20x/6

So, if there are 280 orange bars, there will be

X = 20x/6

X = 20 × 280/6

X = 5600/6

X = 933.33

X ≅ 933 chocolate bars

So, there are 933 chocolate bars

<h3>b. What is the total number of chocolate bars if there are 960 coconut flavored bars?</h3>

Since we have 4 coconut flavored bars, the ratio of coconut flavored bars to total is 4/20

So, the amount of coconut flavored bars is y = 4/20 × X

Making X subject of the formula, we have

X = 20y/4

So, if there are 960 coconut flavored bars, there will be

X = 20y/6

X = 20 × 960/4

X = 5 × 240

X = 1200 chocolate bars

So, there are 1200 chocolate bars

<h3>c. What is the total number of chocolate bars if there are 79 coffee flavored bars?</h3>

Since we have 1 coffee flavored bars, the ratio of coffee flavored bars to total is 1/20

So, the amount of coconut flavored bars is z = 1/20 × X

Making X subject of the formula, we have

X = 20z

So, if there are 79 coffee flavored bars, there will be

X = 20z

X = 20 × 79

X = 1580 chocolate bars

So, there are 1580 chocolate bars

Learn more about ratio here:

brainly.com/question/1127546

#SPJ1

7 0
2 years ago
Which of the following values are solutions to the inequality - 8 - 3x &gt; 2?
____ [38]

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

X< -10/3

Interval Notation:

(-∞, - 10/3)

Hope this is right :)

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3 years ago
How to find and discover what is m∠A?
vodka [1.7K]

Answer: 113, 57, and 66

Step-by-step explanation:

The sum of all of the interior angles can be found using the formula S = (n - 2)*180. It is also possible to calculate the measure of each angle if the polygon is regular by dividing the sum by the number of sides.

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