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ipn [44]
3 years ago
11

Harold uses a cone shaped feeder, with a diameter of 7.5 centimeters and a height of 3.5 centimeters, to feed his tropical fish.

How many cubic centimeters of feed can this feeder hold? Use 3.14 for pi. Enter your answer in the box as a decimal rounded to the nearest tenth
Mathematics
2 answers:
Jlenok [28]3 years ago
8 0
This requires you to find the volume of the cone.
The volume of a cone is 1/3 the area of the base (a circle) times the height of the cone, or 1/3(3.14)r^2 * h.

The radius of the base is 7.5/2 or 3.75.

V = 1/3(3.14 * 3.75^2) * 3.5

V = 1/3(44.16) * 3.5

V = 1/3*154.56

V = 51.5 cm^3 of feed
PtichkaEL [24]3 years ago
8 0

Answer:

51.5\ cm^{3}

Step-by-step explanation:

step 1

Find the volume of a cone

we know that

The volume of a cone is equal to

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

we have

r=7.5/2=3.75\ cm -----> the radius is half the diameter

h=3.5\ cm

substitute the values

V=\frac{1}{3}(3.14)(3.75^{2})(3.5)=51.5\ cm^{3}

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inna [77]
<span>a. The radius of earth is about 6400 kilometers. Find the circumference of a great circle.

Circumference = 2π(radius) = 2π(6400 km) = 40.212,39 km

b. Write an equation for the circumference of any latitude circle with angle theta

As stated, </span><span><span>the length of any parallel of latitude (this is the circumference of corresponding circle) is equal to the circumference of a great circle of Earth times the cosine of the latitude angle</span>:

=> Circumference = 2π*radius* cos(Θ) = 2 π*6400km*cos(Θ) = 40,212.39 cos(Θ)

Answer: circumference = 40,212.39 cos(Θ) km

c. Which latitude circle has a circumference of about 3593 kilometers?

Make </span><span><span>40,212.39 cos(Θ)</span> km = 3593 km

=> cos(Θ) = 3593 / 40,212.39 = 0.08935 => Θ = arccos(0.08935) = 84.5° = 1.48 rad

Answer: 1.48

d. What is the circumference of the Equator? </span>

For the Equator Θ = 0°

=> circumference = 40,213.49cos(0°) km = 40,212.49 km

Answer: 40,212.49 km

7 0
3 years ago
Due soon! Please help :)
scoray [572]

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3 years ago
According to the rational root theorem, which of the following are possible
White raven [17]

Given:

The polynomial function is

F(x)=4x^3-6x^2+9x+10

To find:

The possible roots of the given polynomial using rational root theorem.

Solution:

According to the rational root theorem, all the rational roots and in the form of \dfrac{p}{q}, where, p is a factor of constant and q is the factor of leading coefficient.

We have,

F(x)=4x^3-6x^2+9x+10

Here, the constant term is 10 and the leading coefficient is 4.

Factors of constant term 10 are ±1, ±2, ±5, ±10.

Factors of leading term 4 are ±1, ±2, ±4.

Using rational root theorem, the possible rational roots are

x=\pm 1+,\pm 2, \pm 5, \pm 10,\pm \dfrac{1}{2}, \pm \dfrac{5}{2}, \dfrac{1}{4}, \pm \dfrac{5}{4}

Therefore, the correct options are A, C, D, F.

7 0
2 years ago
Jane is comparing prices of f bottled drinks. She finds one bottle of water that cost $1.92 and contains 12 ounces. She then fin
german

Answer:

the soda is less

Step-by-step explanation:

if you divide both the soda and the waters ounces by their price than you will get 0.15 for the soda and 0.16 for the water showing that its 1 cent more expensive than the soda

5 0
3 years ago
Show how to work the division problem 47 divided by 8 please
Dvinal [7]

Answer:

Step-by-step explanation:

47 divided by 8

= 5.875

hope this helps

6 0
2 years ago
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