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Greeley [361]
3 years ago
4

The radius of a sphere is 6 units. Which expression represents the volume of the sphere, in cubic units?

Mathematics
1 answer:
givi [52]3 years ago
7 0

By definition, the volume of a sphere is given by:

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

Where,

r: sphere radio

Substituting values we have:

V = (\frac{4}{3}) * (\pi) * (6 ^ 3)

Note: all the expressions given, they need the factor 4/3

Answer:

An expression that represents the volume of the sphere, in cubic units is:

V = (\frac{4}{3}) * (\pi) * (6 ^ 3)

option 2

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Bro I don't get this at all
antiseptic1488 [7]

E

2x  -  48  =  10x

-2x                -2x

-48  =   8x

/8          /8

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if you move all of your x's on to the same side it is easier to solve

7 0
3 years ago
See the picture below
mart [117]

Answer:

a) 301.59 cubic centimeters

b) 235.87 square centimeters

Step-by-step explanation:

a)

Volume of ice cream cone is volume of hemisphere PLUS volume of cone.

Volume of Hemisphere = \frac{\frac{4}{3}\pi r^3}{2}

radius is given as 4, so,

Volume of Hemisphere = \frac{\frac{4}{3}\pi r^3}{2}\\=\frac{\frac{4}{3}\pi (4)^3}{2}\\=134.04

Now, Volume of Cone = \frac{1}{3}\pi r^2 h

Where radius is 4 and height is 10, so,

Volume of Cone = \frac{1}{3}\pi r^2 h\\=\frac{1}{3}\pi (4)^2 (10)\\=167.55

Volume of Ice Cream Cone = 134.04 + 167.55 = 301.59 cubic centimeters

b)

Surface area of ice cream cone is surface area of hemisphere PLUS surface area of cone.

Surface Area of Hemisphere = 2\pi r^2\\=2\pi (4)^2\\=100.53

Surface Area of Cone = \pi r^2+\pi rl

We dont need to use the first part, \pi r^2  since it is "inside". We  need to find l, slant height, by using pythagorean theorem on a triangle we can make (bottom right).

4^2 + 10^ 2 = l^2

16 + 100 = l^2

116 = l^2

l = 10.77

Now to find the surface area of cone = \pi rl\\=\pi (4)(10.77)\\=135.34

Surface area of ice cream cone = 100.53 + 135.34 = 235.87 square centimeters

5 0
3 years ago
Students are voting on the color of T-shirts to wear on their field trip. There are 160 students-65 boys and 95 girls- going on
Arlecino [84]

Answer:

The representative sample contained more girls than boys.

3 0
3 years ago
Mia's checking account balance is overdrawn by $52.65.
Svetach [21]

Answer:

A

Step-by-step explanation:

So to start, Mia has an account that is overdrawn by $52.65 so her account is negative 52.65. She then adds 135.50 and used 24.30 so you would add 135.50 and 24.30 respectively. This would be (-52.65) + (132.50) - (24.30). This then would get you $58.55

8 0
3 years ago
H(t) = -t + 3; Find h(-5)
Anastasy [175]

Answer:

8

Step-by-step explanation:

h(t) = -t + 3;

h(-5)

Let t = -5

h(-5) = - -5 +3

       = 5+3

       = 8

7 0
4 years ago
Read 2 more answers
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