Mathematics, 06.04.2020 18:46 jordanfwtm

A laser pointer in the shape of a cylinder is 13 centimeters long with a radius of 0.75 centimeter. What is the volume of the laser pointer. Express your answer in terms of pi and round to the nearest cubic centimeter.

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Answer from: AdamFrost

$V\approx 23\ cm^3$

Step-by-step explanation:

Volume of a cylinder

Assume a cylinder with a base of radius r and with a height h. The volume of the cylinder is given by the formula.

$V=\pi r^2.h$

The laser pointer has a shape of a cylinder of height h = 13 centimeters and a radius of r = 0.75 centimeter.

Computing the volume:

$V=\pi\cdot 0.75^2\cdot 13$

We'll operate all the numbers except pi to express the answer as required

$V=7.3125\pi \ cm^3$

To express the answer rounded to the nearest cubic centimeter, we must calculate it including the value of pi

$V=22.97\ cm^3$

Rounding to the nearest value

$\boxed{V\approx 23\ cm^3}$

Answer from: Quest

starting with:

5 + x - 12 = 2x - 7

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)

5 - 12 = x - 7 (combine and cancel x's from both sides)

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)

0 = x (add numbers together on both sides)

so in order for the equation to be true, x must be 0.

trying x = -0.5

5 + x - 12 = 2x - 7 (original equation)

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)

5 + -0.5 - 12 = -1 - 7 (did multiplication)

-7.5 = -8 (did addition on both sides)

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.

trying x = 0

5 + x - 12 = 2x - 7 (original equation)

5 + 0 - 12 = 2(0) - 7 (plug in value of x)

5 + 0 - 12 = 0 - 7 (did multiplication)

-7 = -7 (did addition on both sides)

since -7 equals -7, that demonstrates that the value of 0 for x is correct.

trying x = 1

5 + x - 12 = 2x - 7 (original equation)

5 + 1 - 12 = 2(1) - 7 (plug in value of x)

5 + 1 - 12 = 2 - 7 (did multiplication)

-6 = -5 (did addition on both sides)

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

Answer from: Quest

the total estimated nappy use.=10,500,000

step-by-step explanation:

given that on an average the average baby uses 3528 napkins.

in a particular year 2014, the number of births were 299697 in new south wales.

rounding off the number of births to the nearest hundred thousand we have

no of birtsh = 300000

also rounding off the average usage to nearst thousand we get

average use of a baby = 3500

hence total number of nappy estimated to be used = 3500x300000

= 10,500,000

answer is 10,500,000 nappies

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