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Ghella [55]
3 years ago
15

A shop uses cone-shaped coffee filters in its coffee pots. Each filter has a diameter of 5 inches and a height of 4 inches. What

is the volume of the filter? Use 3.14 to approximate pi. Round your answer to the nearest tenth.
Mathematics
1 answer:
KengaRu [80]3 years ago
5 0

Answer:

26.2 inches cubed

Step-by-step explanation:

The volume of a cone is denoted by: V=\frac{1}{3} \pi r^2h, where r is the radius and h is the height.

Here, we are given that the diameter is 5. Remember that the radius is simply 1/2 the diameter, so the radius is r = 5/2 = 2.5. We are also given that the height is h = 4. Plug these into the equation:

V=\frac{1}{3} \pi r^2h

V=\frac{1}{3} *3.14* (2.5^2)*4 ≈ 26.2

Thus, the volume is about 26.2 inches cubed.

Hope this helps!

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It takes 4 hours and 15 minutes to fly from Orlando, Florida, to Boston, Massachusetts. The distance between the two cities is 1
3241004551 [841]

Answer:

262.12mph and 419kph

Step-by-step explanation:

Given: It takes 4 hours and 15 minutes to fly from Orlando, Florida, to Boston, Massachusetts. The distance between the two cities is 1114 miles

To Find: the average speend of the plane in miles per hour, If every mile is approximately 1.6 kilometers, the speed of the airplane in kilometers per hour

Solution:

Distance between Orlando,Florida and Boston, Massachusetts=1114 \text{miles}

Time taken to cover the distance =4\text{hours} and 15\text{minutes}

We know that,

\text{Average Speed}=\frac{\text{Total Distance}}{\text{Total time}}

                                          =\frac{1114}{\frac{17}{4}}

                                          =\frac{1114\times4}{17}

                                          =262.12 \text{mph}

It is given that,

1\text{mile}=1.6\text{kilometer}

therefore,

1\text{mph}=1.6\text{kph}

Speed Of plane in Kilometers per hours =\text{speed in mph}\times1.6

                                                                   419.4\text{kph}

Speed of in miles per hour  is 262.12 \text{mph} and Speed in kilometer per hour  419.4\text{kph}

3 0
3 years ago
3y^4/3y^2-6=10 please help I will.mark it as the brainliest answer!​
Korolek [52]
Y=4 or -4
Explanation: trust me bro
6 0
3 years ago
Read 2 more answers
ASAP 55 points Which expression is equivalent to ((x^(-4)y)/(x^(-9)y^(5)))^(-2) assume x = 0 ,y = 0
german

Answer:

I thought if you try to do an exponent on a zero, then the answer would always be undefined...

Step-by-step explanation:

6 0
3 years ago
2. Write the equation of a circle that has a diameter of 12 units if its center is at (4,7).
ahrayia [7]

Answer:

The Answer is B

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here diameter = 12, thus radius = 12 ÷ 2 = 6 and (h, k) = (2.5, - 3.5), thus

(x - 2.5)² + (y - (- 3.5))² = 6², that is

(x - 2.5)² + (y + 3.5)² = 36 ← equation of circle

5 0
3 years ago
Create an expression that simplifies to sin x
Dimas [21]

Answer:

2\cdot \sin 0.5x \cdot \cos 0.5x

Step-by-step explanation:

Here is one example:

2\cdot \sin 0.5x \cdot \cos 0.5x

\sin 0.5x \cdot \cos 0.5x + \cos 0.5x\cdot \sin 0.5x

\sin (0.5x + 0.5x)

\sin x

4 0
3 years ago
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