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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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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.


How do you find the radius of a cylinder when height and volume are given?

The volume of a cylinder is given by the equation V=2*pi*r*h V=volume r=radius h=height Since the height and volume are given in this case, rearranging the equation will show that r= V / (2*pi*h). With that equation you can find the radius of any cylinder with known volume and height.


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

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.


What is the volume of cylinder with radius of 2.5cm and height 10cm?

Calculate it by multiplying the value of Pi by twice the radius - then multiplying that number by the height... I'll leave YOU to do the maths !


What this formula v equals nr2h calculate what?

The formula v = nr^2h calculates the volume of a cylinder, where v represents the volume, n is the number of units, r is the radius of the base of the cylinder, and h is the height of the cylinder. By multiplying the number of units, the square of the radius, and the height of the cylinder, you can determine the total volume of the cylinder in cubic units.


How do you increase wrinkles of a neapolitan mastiff?

You can't. You can't increase the number of toes you have either.


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.


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.


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

527.52 but if you have to round it to a whole number the answer will then be 528


How many barrels fit in a cylinder?

The number of barrels that can fit in a cylinder depends on the dimensions of the cylinder and the barrels. The formula to calculate the volume of a cylinder is πr^2h, where r is the radius of the base of the cylinder and h is the height. By dividing the volume of the cylinder by the volume of a barrel, you can determine how many barrels can fit inside.


How do you find the height of a cylinder with a radius of 2IN and a volume of 90IN3?

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.


Dodge Dakota number 2 cylinder not firing changed wires and plugs still number 2 not firing?

Run a compression test on #2 cylinder. You either have a burnt valve or cracked head.