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Volume of a cylinder: V = pi * h * r^2 (where h=height and r=radius) So, plugging into the volume equation both possible scenarios and setting them equal to each other gives: pi * (r + x)^2 * h = pi * r^2 * (h + x) The pi's cancel and the squared terms give: (r^2 + 2rx + x^2) * h = (h * r^2) + (x * r^2) Simplifying and swapping terms: hx^2 + 2hrx - xr^2 = 0 hx^2 + x(2hr - r^2) = 0 hx^2 = -x(2hr - r^2) x = -(2hr - r^2)/h = (r^2 - 2hr)/h

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Q: In a cylinder what is a number that can be added to either radius or height to give the same increase in volume?
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What is the radius of a cylinder with a volume of 500 cm3?

It could be any positive number of centimeters. The volume depends not only on the radius, but also on the height of the cylinder.


How do you find the circumference of a cylinder with height and volume?

Divide the volume by height first. Then divide the quotient which is the area by pi. Next find the square root of that number. The diameter of the base would be double the square root and then multiply the diameter by pi.


What is the volume of this cylinder that has a radius of 6 inches and a height of 8 inches?

The volume of a cylinder is equal to: (pi multiplied by the radius squared) multiplied by the height. In this instance, taking Pi to be the approximation of pi found on a ten-digit calculator, and rounding the number to two decimal places:pi x 62 x 8 = 288 x pi = 904.78 square inches.This can also be notated as 904.78 in2. Don't forget the superscript 2 in your answer.


How many planes of symmetry does a cylinder have?

two of the faces of a cylinder are circles circles have an infinite number of lines of symmetry therefore cylinders have an infinite number of planes of symmetry


What is the volume of the right circular cylinnder with a height of 12cm and a radius of 9cm?

A formula for the volume of a cylinder is 2 X pi X r2 X h, where r is the radius and h is the height. This formula yields about 3053.628059 cubic centimeters if the integers specified are considered exact or 3.1 X 103 cubic centimeters to the justified number of significant digits otherwise.

Related questions

If the volume of a cylinder is known how do you find the height and diameter of the cylinder?

You cannot determine the height and diameter from just the volume because there is an almost infinite number of combinations of height and diameter that could create a particular volume.


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What is the radius of a cylinder if the volume is 50?

By adjusting its height, you can make the radius any positive number that you like.


How do you find the surface area of a cylinder but with a mixed number as the radius and height?

Change the mixed numbers into improper fractions or decimals and use the formula for the cylinder's entire surface area of: (2*pi*radius2)+(pi*diameter*height)


What are the dimensions of a cylinder that holds one gallon?

There are an infinite number of cylinders that hold one gallon. The volume of a cylinder is a function of its height as well as its diameter. If you double the height, you double its capacity. If you double the radius, you quadruple the capacity. So, you could have a very tall, thin cylinder or a short, wide one.


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You write the formula for the volume of a cylinder, put the numbers you know into it, and solve it for the number you don't know. The formula for the volume of a cylinder is: V = pi (radius)2 (height) When you put the numbers you know into the formula, you have: 90 = (3.14) (2)2 (height) You should be able to solve that expression for the height. If you can't, then you need to make an appointment and spend some time with your teacher.


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