Mathematics, 24.05.2020 15:57 hannahe83

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The question is : Find the volume of the figure above

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Answer from: nickmoose04

985.31 cm² is the volume of the figure.

Step-by-step explanation:

First, find the volume of the cylinder

$V=\pi r^{2} h$ Use this equation to find the volume of the cylinder

$V=\pi (4)^{2} (20)$ Simplify the exponent and multiply

$V = 320\pi$ Multiply

1005.31 cm² is the volume of the cylinder

Next, find the volume of the rectangle

V = L x W x H Use this equation to find the volume of the rectangle

V = 20 x 1 x 1 Multiply

V = 20 cm² is the volume of the rectangle

Subtract the volume of the rectangle from the volume of the cylinder to find the volume of the figure.

1005.31 cm² - 20 cm² = 985.31 cm² is the volume of the figure.

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Answer from: esperanzar3034

I had 271.36cm^3

Step-by-step explanation:

There are 2 figures in the diagram above a cylinder and a cuboid if I'm right

So volume of Figure = V(cylinder) + V(cuboid)

V(cylinder) =pi x rxr xh

Pi=3.142, radius is 2 (since diameter is 4cm), height is 20cm.

So V(cylinder) =3.142x4x20 = 251.36cm^3

V(cuboid) =lbh =1x1x20 =20cm^3

So V(figure)= 20+251.36

=271.36cm^3

Answer from: Quest

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is $3\times 8.50=$25.5$

cost of 2 dresses if one cost at $27.50 is $2\times 27.50=$55$

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is $25.5+$55+$17.50=$98

Answer from: Quest

solution:

the given function is ,

$f(x) = 4 x^3 - 72 x^2 + 320 x,$

= $4x( x^2- 18 x + 80)\\\\ 4 x(x^2-10 x -8 x + 80) \\\\ 4 x[(x-10)(x-8)]$

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

$f(x) = a x^3+ b x^2 + c x+d,$

sum of the roots = a + b +c= 0+8+10=18= $\frac{-b}{a}$

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 = $\frac{c}{a}$

product of roots = a b c = 0= $\frac{d}{a}$

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function $f(x) = 4 x^3 - 72 x^2 + 320 x,$ is given by entry and exit route of this hall.

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