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Alex73 [517]
4 years ago
13

EXTRA POINTS! volume of spheres.

Mathematics
1 answer:
BartSMP [9]4 years ago
3 0

Answer:

V≈33.51

although I don't have an explanation, sorry, if you look up "how to find the volume of a sphere" on google, it will give you the answer

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The following figure is made of six semicircles with the same diameter, and of four congruent equilateral triangles represented
Oxana [17]

6 semicircles = 3 circles

The formula of the area of a equilateral triangle:

A_\triangle=\dfrac{a^2\sqrt3}{4}

We have a = |AE| = 3cm. Substitute:

A_\triangle=\dfrac{3^2\sqrt3}{4}=\dfrac{9\sqrt3}{4}\ cm^2

The formula of the area of a circle:

A_O=\pi r^2

We have 2r = |AE| =3cm → r = 1.5cm. Substitute:

A_O=\pi\cdot1.5^2=2.25\pi\ cm^2

The area of the figure:

A=4A_\triangle+3A_O\\\\A=4\cdot\dfrac{9\sqrt3}{4}+3\cdot2.25\pi=9\sqrt3+6.75\pi=6\dfrac{3}{4}\pi+9\sqrt3\\\\=\dfrac{27}{4}\pi+\dfrac{36\sqrt3}{4}=\dfrac{9}{4}\cdot3\pi+\dfrac{9}{4}\cdot4\sqrt3=\dfrac{9}{4}(3\pi+4\sqrt3)\ cm^2

7 0
3 years ago
Eya is 5 years younger than 3 times Bills age. If Eya is 28 how old is Bill?
Sedaia [141]
Bill's age = x

Eya's age = 3x - 5

Eya is 28

28 = 3x - 5

28 (+5) = 3x -5 (+5)

33 = 3x

33/3 = 3x/3

x = 11

Bill = x

x = 11

Bill is 11 years old

hope this helps
4 0
4 years ago
How to find the diameter of a circle with pi
kifflom [539]

Step-by-step explanation: Divide the circumference (perimeter) by pi. That gives you the diameter. Half of that is the radius. To get the area, square the radius, and then multiply by pi.

7 0
3 years ago
Find the distance between (5, -4) and (-7, -5).
spayn [35]

Answer:

Step-by-step explanation:

12 I think

6 0
3 years ago
PLZ HELP NEED ANSWER ASAP TIA
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Answer:

A. 2(6a-3) = (6a-3)*2

4 0
3 years ago
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