from a handpicked tutor in LIVE 1-to-1 classes
A cylinder has a height h that is 2 times as large as its radius r. Find its volume V in terms of its radius.
Volumes are important quantities that have an immense number of applications in various fields which include medical, engineering as well as science. Different solids have different formulae for volumes. Let's solve a problem related to the volume of a cylinder.
Answer: The volume of a cylinder that has a height 2 times as large as its radius r, is 2πr3 cubic units.
Let's understand the solution in detail.
The volume of a cylinder is given by the formula πr2h, r is the radius, h is its height.
Here, it is given that the height is 2 times that of radius, that is, h = 2r.
Hence, using the above formula, we get V = πr2h = πr2(2r) = 2πr3 cubic units.
We can find the volume for the specific value of r and h.
For example, r = 4, V = 128π cubic units.
For example, h = 20, we get r = 10, hence V = 2000π cubic units.
You can use the volume of the cylinder calculator to verify your answer.
The volume of a cylinder that has a height 2 times as large as its radius r, is 2πr3 cubic units.