A cylinder has a height of 12cm.
The circumference of the cylinder is 20π cm.
Calculate the volume of the cylinder in terms of π.
My maths teacher asked this so pls can u help cause its my Mock GCSE test.
Cheers! :D
WHATS THE ANSWER
Sure! I'd be happy to help you with this question.
To calculate the volume of a cylinder, we use the formula:
Volume = π * r^2 * h
Where π (pi) is a mathematical constant approximately equal to 3.14159, r is the radius of the base of the cylinder, and h is the height of the cylinder.
To find the radius of the cylinder, we need to use the circumference formula:
Circumference = 2 * π * r
Given that the circumference of the cylinder is 20π cm, we can solve the equation as follows:
20π = 2 * π * r
Dividing both sides of the equation by 2π, we get:
10 = r
Now that we know the radius is 10 cm, we can substitute this value into the volume formula:
Volume = π * (10^2) * 12
Simplifying further, we get:
Volume = π * 100 * 12
Volume = 1200π
Therefore, the volume of the cylinder in terms of π is 1200π cubic cm.
I hope this helps! Let me know if you have any other questions. Good luck on your Mock GCSE test!
since C = 2πr = 20π that means
r = C/2π = 20π/2π = 10
Now Just use your formula: v = πr^2 h