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3 years ago

Give the coordinates of a shape that can be rotated about the y-axis to create a cylinder.

Mathematics

1 answer:

kirill [66]3 years ago

7 0

It's the rectangle, if we rotate it about y-axis, it would create a cylinder..

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Simplify (5 to the power of 1/3) to the power of 3

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Answer:

Step-by-step explanation:

Multiply the exponents

Reduce the gcf

Hope ghis helps! :)

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The sum of two rational numbers will always be

telo118 [61]

It's the same as adding 2 fractions the product of 2 rational numbers is rational

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Data were collected every five years on the population of the countries in the UN. The following computer output and residual pl

Vladimir [108]

Answer:

Step-by-step explanation:

No, the residual plot does not show random scatter around the residual = 0.

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3 years ago

the volume of a cone of radius r and height h is given by v=1/3pir^2h. If the radius and height is both increasing at a constant

Tamiku [17]

Answer:

The rate of change of the volume $\frac{dV}{dt}$ when the height is 9 centimeters and the radius is 6 centimeters is $24\pi \:\frac{cm^3}{s}$

Step-by-step explanation:

This is a related rate problem because you know a rate and want to find another rate that is related to it. If 2 variables both vary with respect to time and have a relation between them, we can express the rate of change of one in terms of the other.

From the information given we know:

$\frac{dr}{dt}=\frac{1}{2}\:\frac{cm}{s}$
$\frac{dh}{dt}=\frac{1}{2}\:\frac{cm}{s}$
The volume of a cone of radius r and height h is given by $V=\frac{1}{3} \pi r^2 h$

We want to find the rate of change of the volume $\frac{dV}{dt}$ when the height is 9 centimeters and the radius is 6 centimeters.

Applying implicit differentiation to the formula of the volume of a cone we get

$\frac{dV}{dt}=\frac{1}{3}\pi [r^2\frac{dh}{dt}+2rh\frac{dr}{dt} ]$

Substituting the values we know into the above formula:

$\frac{dV}{dt}=\frac{1}{3}\pi [(6)^2\frac{1}{2}+2(6)(9)\frac{1}{2} ]\\\\\frac{dV}{dt}=\frac{1}{3}\pi[18+54]\\\\\frac{dV}{dt}=\frac{72\pi}{3}=24\pi \:\frac{cm^3}{s}$

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4 years ago

A teacher is arranging desks in a room into rows. Each row has the same number of desks. The teacher has more

Grace [21]

Answer:

16, 21, 25

Step-by-step explanation:

19 and 21 are prime numbers, and thus cannot fit in this scenario.

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4 years ago

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