Question

Two cylinders, A and B, are

mathematically similar.
Cylinder A has volume 2400
cm³ and height 12 cm.
Cylinder B has volume 750
cm³
Find the height of cylinder B.
Give your answer correct to
an appropriate degree of
accuracy.

Answer 1

To find the height of cylinder B, we can use the concept of mathematical similarity and the formula for the volume of a cylinder.

Step-by-step explanation:

Given that the two cylinders, A and B, are mathematically similar, we can use the formula V = πr^2h to find the height of cylinder B.

Since the volume of cylinder A is 2400 cm³ and its height is 12 cm, we can substitute these values into the formula to find the radius of cylinder A.

Then, we can use the ratio of the volumes of the two cylinders to find the height of cylinder B.

Learn more about Finding the height of a cylinder using mathematical similarity