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ELEN [110]
3 years ago
14

a container for a hanging plant is a half sphere with a diameter of 9 inches. about how much soil does the container hold

Mathematics
2 answers:
stich3 [128]3 years ago
5 0

Answer:

190.9 in³

Step-by-step explanation:

Whenever one is asked to find how much(quantity of something) a certain container can hold,all you need to understand is that you are been asked about the volume of that container

We all know that the volume of a sphere is 4/3 × 22/7 × r³

And since we are dealing with a container in the shape of half a sphere,the volume of that container will now be volume of a sphere divided by 2

If the formula that was given initially was divided by 2,the new formula will look like this:

4/6 × 22/7 × r³

And we have the diameter but not the radius and we know that to find the radius, all we need to do is to divide the diameter by 2

That is 9/2 = 4.5

Putting the values in the formula,we can now derive the volume of that sphere

4/6 × 22/7 × 4.5³

= 190.9 in³ of soil

storchak [24]3 years ago
4 0

Answer:

190.87 cubic inches

Step-by-step explanation:

A sphere is three-dimensional a ball-shaped object. It's volume is calculated using the formula:

V = 4/3πr^3

Where V= Volume of sphere

π (pie) = 22/7 (constant)

r = diameter ÷ 2 i.e. 9/2 = 4.5inches

Hence, to calculate the volume of the sphere, we slot in the values into the formula;

V = 4/3 × 22/7 × 4.5^3

V = 1.333.....× 3.142 × 4.5 × 4.5 × 4.5

V = 381.753

Thus, the volume of the sphere is 381.753 cubic inches.

However, according to the question, the container is a hemisphere i.e. half of a sphere. Therefore, to get the volume of soil in the container, we divide the volume of the sphere by 2;

381.753 ÷ 2

= 190.87

Hence, the volume of the soil in the hemispherical container is 190.87 cubic inches (in^3)

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WINSTONCH [101]
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b) Percent cost of hardware: 17.63/216.40 = 0.081
c) Percent cost paint and hardware: (17.63 + 52.91)/216.40 = 0.326
8 0
3 years ago
The cross section of a parabolic reflector has a vertical axis of symmetry with its vertex at (0,0) . The focus of the reflector
Paha777 [63]

Answer:

The depth of the reflector is 0.84 feet

Step-by-step explanation:

<em>(See the figure below)</em>

The equation of a parabola centered at the origin with an axis of symmetry on y-axis is:

x^{2}=4py (1)

With p the distance from the origin to the focus using p=6, the equation (1) of the parabola becomes:

x^{2}=4(6)y=24y (2)

Note that the point B is on the parabola, so this point should satisfy the parabola equation (2) that allow us to use the value x=4.5 to find the y value associated to it, that it is the depth (h) of the reflector:

(4.5)^{2}=24y, solving for y

y=\frac{(4.5)^{2}}{24}\approx0.84\,ft

4 0
3 years ago
in a class of 35 students 26 play football and play 20 long tennis, if 17 play above, many play neither.
Artyom0805 [142]
I hope this helps you

4 0
3 years ago
Witch ratio is the same as 2/3
Sophie [7]

Answer:

6 : 15

Step-by-step explanation:

3 0
3 years ago
PLS PLS PLS I NEED HELP <br> Given * inserted picture* find
Gala2k [10]

Answer:

SinA=5/1 3 CosA=12/13 tanA=5/12. SinC=12/13 CosC=5/13 and tanC=12/5

Step-by-step explanation:

Basically find the third side by Pythagorean theorem which would get you 13. So 13 is the hypotenuse. Remember these 3 formulas. Sin=Opposite/Hypotenuse Cos=Adjacent/hypotenuse and Tan=opposite/Adjacent. So for Sin a the opposite side to angle A is 5. The hypotenuse is always the same which would be 13. So Sin a is 5/13. For cos the side adjacent would be 12. So it is 12/13. *Note Hypotenuse cannot be considered the adjacent.

4 0
3 years ago
Read 2 more answers
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