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Inessa [10]
2 years ago
6

1) Which expression is equivalent to x^8 - 256?

Mathematics
1 answer:
Allushta [10]2 years ago
8 0
C) (x – 2)(x + 2)(x2 + 4)(x4 + 16)
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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.​
Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = 21m^3

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

<em>Using the volume formula of a cylinder</em>

The formula goes thus

V = \pi r^2h

Substitute 21 for V; this gives

21 = \pi r^2h

Divide both sides by h

\frac{21}{h} = \frac{\pi r^2h}{h}

\frac{21}{h} = \pi r^2

The next step is to solve for the volume of the sphere using the following formula;

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

Divide both sides by r

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

Expand Expression

\frac{V}{r} = \frac{4}{3}\pi r^2

Substitute \frac{21}{h} = \pi r^2

\frac{V}{r} = \frac{4}{3} * \frac{21}{h}

\frac{V}{r} = \frac{84}{3h}

\frac{V}{r} = \frac{28}{h}

Multiply both sided by r

r * \frac{V}{r} = \frac{28}{h} * r

V = \frac{28r}{h} ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

h = D , where D represents diameter of the sphere

Recall that D = 2r

So, h = D = 2r

h = 2r

Substitute 2r for h in equation 1

V = \frac{28r}{2r}

V = \frac{28}{2}

V = 14

Hence, the volume of the sphere is 14m³

4 0
3 years ago
Read 2 more answers
You are given the equation 27bx7•cx8•7xd=455x27. If b and c are both integers greater than 1 and b less than cb
jolli1 [7]

Answer:

The question is not so clear and complete

Step-by-step explanation:

But for questions like this, since the equation has been given, what is expected is for us to make comparison, compare the RHS with the LHS or by method of comparing coefficients.

We follow the stated conditions since we are told that b and c are both integers which are greater than 1 and b is less than the product of cb. from these conditions, we can compare and get the values of b , c and d.

Another approach is to assume values, make assumptions with the stated conditions, however, our assumptions must be valid and correct if we substitute the assumed values of b, c and d in the equation, it must arrive at the same answer for the RHS. i.e LHS = RHS

5 0
3 years ago
What is 100 divided by 2
LenaWriter [7]
50 Is the answer.........
4 0
3 years ago
Read 2 more answers
Estimate the product of 15.217 × 9.54
yawa3891 [41]
The answer will be around 145
8 0
3 years ago
Read 2 more answers
What is the value of x? 27(x+4)=−6
jonny [76]
First you need to use the distributive property:   27(x+4)=-6 
                                                                              27x+108=-6
then you need to subtract 108 from -6 to
get x alone.                                                           27x= 102

Lastly divide 102 by  27 to finally get x alone:      x=3.777

the answer would be: x= 3.77 or 3.8
5 0
3 years ago
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