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lisabon 2012 [21]
3 years ago
13

At Robin's Snow Cones, the shaved ice portion of the cone is shaped like a perfect sphere with a diameter of 8 cm. Exactly half

of the shaved ice sphere extends above the paper cup holder. What is the volume of ice that extends above the cup to the nearest cubic centimeter? In your calculations, use LaTeX: \pi\:=\:3.14
Mathematics
1 answer:
solmaris [256]3 years ago
4 0

Answer:

The extended volume of hemisphere to nearest cubic centimeter is V = 134 cm^3

Step-by-step explanation:

Solution:-

- The shaved ice is modeled as a sphere.

- The half of the shaved ice sphere extends above the cup holder.

- The volume of sphere with radius r = diameter d / 2 :

                     V = \frac{4}{3}*\pi *r^3

- We are to calculate the volume of the extended part of the sphere with diameter d = 8 cm or radius r = 4 cm.

- The volume of hemisphere is:

                     V = \frac{1}{2} *\frac{4}{3}*3.14 *r^3= \frac{2}{3}*3.14 *r^3\\\\V = \frac{2}{3}*3.14 *4^3 \\\\V =134.04128 cm^3

- The extended volume of hemisphere to nearest cubic centimeter is V = 134 cm^3

                   

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30 : 300
Simplify
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8 0
2 years ago
5. Mrs. Stabile has a one-story house that is 32 feet wide and 48 feet long. She plans to build an addition 12 feet by 16 feet.
kykrilka [37]
(32*48)+(12*16)=1728
5 0
4 years ago
PLEASE HELP!!!!
mr Goodwill [35]

Complete Question:

Justify the rationale behind Ms Calcutta's decision to use the circumcenter

Answer:

Check below for the answer and explanations.

Step-by-step explanation:

Ms Calcutta wants every occupant of the three office buildings to have equal easy access to the recycling station. The circumcenter of the three three office buildings, where the recycling station is located, has equal distance from the three offices, this means that all of Ms. Calcutta's workers in the three buildings can have to the recycling station equally without causing unnecessary inconvenience for occupants of any of the buildings.

4 0
4 years ago
during one month, a homeowner use 600 units of electricity and 100 units of gas for total cost of $412. The next month, 400 unit
Anastasy [175]
This is a simultaneous question.
To solve this, we have to make up 2 equations based on the info provided like so:

electricity = e
gas = g

600e + 100g = $412 ——(1)
400e + 150g = $293 ——(2)

In this case, it’ll be easier to use the elimination method where you eliminate a variable so you can calculate only one.

Here, we will be eliminating e so we can get the cost of gas.

To do this we need to get both equation’s e to 600, so we have to multiply equation 2 by 1.5:

(2) x 1.5:

400e + 150g = $293
600e + 225g = $439.50 ——(3)

Now we eliminate e by subtracting equation 1 from equation 3:

(3) - (1):
600e + 225g - 600e - 100g = $439.50 -$412

125g = $27.50
g = $0.22.

Therefore one unit of gas costs $0.22.

Hope it helps and have a good day ahead :D
5 0
3 years ago
Please help me solve this !!
mixas84 [53]

Answer:

B) 6.68

Step-by-step explanation:

Use Cosine.

Cosine= Adjacent ÷ Hypotenuse

In this case the base you want to find is adjacent to the angle, 42°. Hence,

Cos (42)= adjacent ÷ hypotenuse

Cos (42) = x ÷ 9

x = Cos (42) × 9. Input that into your calculator.

x= 6.68

To remember the trigonometric ratios/formulas

Use the acronym, SOHCAHTOA

Hope this helps!!!!

5 0
3 years ago
Read 2 more answers
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