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valina [46]
3 years ago
9

Given a soda can with a volume of 36 and a diameter of 4, what is the volume of a cone that fits perfectly inside the soda can?

(Hint: only enter numerals in the answer blank). (4 points)
Mathematics
2 answers:
weeeeeb [17]3 years ago
7 0

Answer:

12 unit³

Step-by-step explanation:

Soda can is in the form of a cylinder.

So volume of a soda can = \pi r^{2} h

where volume of can = 36 unit³

and r = \frac{4}{2} units = 2 unit

Now from the given formula

36 = (2)² (h) π

36 = 4 h × π

h = \frac{36}{4}=\frac{9}{\pi }

Now we have to calculate the volume of a cone that fits perfectly inside the can.

Volume of cone =\frac{1}{3}(\pi r^{2}h)

Height of cone = height of can = \frac{9}{\pi } unit

Radius of cone = radius of can = 2 unit

volume of cone = \frac{1}{3}(\pi )(2)^{2} × (\frac{9}{\pi } )

= 3 × 4

= 12 unit³

spin [16.1K]3 years ago
6 0
First we need to find the heigh of the soda can be rearanging the volume formula, . We can make that  We know that V is 36 and radius is half of the diameter, so radius is 2. 

h = 2.87

Now, we can use the height to figure out the volume of a cone. The volume of a cone is 
R is 2 again and h is 2.87


12.56*.96 = 12.0576
So a cone with a volume of 12.0576 is the largest that will fit into the soda can
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Explanation:

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I need the answer fast please !
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30

Step-by-step explanation:

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6 0
3 years ago
3 squares are positioned to form a triangle. the small square is labeled 6 units, medium square is 8 units, and large square is
LuckyWell [14K]

The area of the square of the leg 6 is 36 square units.

The area of the square of the leg 8 is 64 square units.

The area of the square of the hypotenuse square is 100 square units.

The length of the hypotenuse is 10 units.

Formula Used

Area of square, A = (a)^{2}

Here, a is the length of the side of the square.

Pythagoras Theorem is given as,

h^{2} =p^{2} +b^{2}

Here, h, p, b are the hypotenuse, perpendicular, and the base of a right angle triangle respectively.

Area of the Square of the Leg 6

Length of the edge of the square = 6 units

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= 36 square units

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= 64 square units

Area of the Hypotenuse Square and the Length of the Hypotenuse

Applying Pythagoras theorem,

h^{2} = (8)^{2} +(6)^{2}

h^{2} = 64+36

h = \sqrt{100}

h = 10 units

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Learn more about area of square here:

brainly.com/question/1658516

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5 0
2 years ago
What is 16% of 43 minutes? Round answer to tenths place.
sergiy2304 [10]

Answer: 6.9\ minutes

Step-by-step explanation:

Let "x" represents the 16% of 43 minutes.

Once you analize the information given in the exercise, you can identify that 43 minutes is the 100%.

Then, with this data, you can set up the following proportion:

\frac{100}{43}=\frac{16}{x}

Now you must solve for "x". The steps are:

- Multiply both sides of the equation by "x"

 (x)(\frac{100}{43})=(\frac{16}{x})(x)\\\\\frac{100x}{43}=16

- Multiply both sides by 43:

(43)(\frac{100x}{43})=(16)(43)\\\\100x=688

- Divide both sides by 100:

\frac{100x}{100}=\frac{688}{100}\\\\x=6.88

- Rounding to the tenths place:

x\approx6.9

7 0
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