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3 years ago

What is the exact volume of a cylinder 4" with by 8" length the answers are 32in 64in 128in 512in

Mathematics

1 answer:

Nataly_w [17]3 years ago

5 0

Volume of a cylinder is:

π x radius² x height

Radius = width / 2 = 2

so:

π x 2² x 8 = 32π = 100.53

I'm guessing the answer is "32in" because that's the only answer that matches the answer 32π. Maybe the units are wrong in the question.

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3 years ago

Choose the graphic representation of the quadratic function f(x) = x2 – 8x + 24.

larisa86 [58]

Refer the attached figure for the graphic representation of the given quadratic equation.

<u>Step-by-step explanation:</u>

Given expression:

$f(x)=x^{2}-8 x+24$

To find:

The graphic representation of the given quadratic function

For solution, plot the graph to the given quadratic equation.

The standard form of the equation is

$y=a x^{2}+b x+c$

When comparing with given quadratic equation,

a = 1, b = - 8, c = 24

Axis of symmetry is $x=\frac{-b}{2 a}$

By applying the values, the axis of symmetry of given equation is

$x=\frac{-(-8)}{2(1)}=4$

The vertex form of quadratic equation is $f(x)=a(x-h)^{2}+k$

Where, (h,k) are the vertex.

Convert the quadratic equation into vertex form.

By completing the square,

$f(x)=x^{2}-8 x+24$

$f(x)=\left(x^{2}-2(4) x+4^{2}\right)-4^{2}+24$

$f(x)=(x-4)^{2}+8$

On comparison,

(h , k) = (4 , 8)

Now, plot the equation with vertex (4,8) [refer attached figure].

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3 years ago

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dedylja [7]

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3 years ago

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Vesnalui [34]

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Step-by-step explanation:

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4 years ago

What is the product of (-6.8)^2

zlopas [31]

-6.8^2

You can do this with a calculator or pen and paper.

With a calculator;

-6.8 squared = 46.24 (Notice that the answer is positive!)

8 0

3 years ago

Read 2 more answers

What is the exact volume of a cylinder 4" with by 8" length the answers are 32in 64in 128in 512in​

What is the exact volume of a cylinder 4" with by 8" length the answers are 32in 64in 128in 512in