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andreyandreev [35.5K]
3 years ago
13

A cylinder and a sphere both have the same radius, 4. The height of the cylinder is equal to the diameter of the sphere. Select

the expression that describes the volume of the cylinder that is not occupied by the sphere.
Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
6 0

Answer:

134.04 cubic units

Step-by-step explanation:

Step 1

Find the Volume of the Sphere

Formula = 4/3πr³

r= radius = 4

Hence,

Volume = 4/3 × π × 4³

= 268.08 cubic units

Step 2

Find the Volume of the cylinder

Formula = πr²h

r = radius = 4

h = Height = Diameter of the sphere

Radius of a sphere = 4

Diameter = Height of cylinder = 2 × r = 2 × 4 = 8

Hence: π × 4² × 8

= 402.12 cubic units

Step 3

The expression that describes the volume of the cylinder that is not occupied by the sphere = Volume of Cylinder - Volume of sphere

= 402.12 cubic units - 268.08 cubic units

= 134.04 cubic units

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Please tell me what x is 3(x+6)=48
Alekssandra [29.7K]

Answer

X=10

Step by step explanation

48÷3 = 16

16-6 = 10

7 0
3 years ago
How do you solve this? <br>Y x 49/36=7/12
Triss [41]
Divide both sides by 49/36 to get y by itself:

\frac{7}{12} \div \frac{49}{36}

\frac{7}{12} \times \frac{36}{49} = \frac{254}{588}

Simplify this fraction:

\frac{254}{588} \div \frac{2}{2} = \frac{127}{294}

Now you have your answer:

y = \frac{127}{294}


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A)Natalie has read 3/4 of a book that is 120 pages long. How many pages does she have left to read?
drek231 [11]
A) (1/4)*120=
B) 22.5 or 22 1/2
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D)0.125
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3 years ago
Read 2 more answers
What is the equation of the circle with center (0, 0) that passes through the point (–4, –6)?
Vadim26 [7]

If the center is in point P(a,b) and has a radius r then circle equation is:

(x-a)²+(y-b)²=r².

In your task we've got P(0,0) so the circle equation is x²+y²=r².

We have to find r. Radius start at (0,0) and end at (-4,-6) therefore

r=√((-4)²+(-6)²) and

r²=(-4)²+(-6)²=16+36=52.

So answer is x²+y²=52.

4 0
3 years ago
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