the circumference of the base of cylinder is 88 cm and its hight is 15 cm find the volume of the cylinder
Answers
The volume of the cylinder is 9240 cubic cm
Step-by-step explanation:
Given, height of the cylinder is 15 cm
Let r be the radius of the base circle of the cylinder. Then its circumference = 2πr
Given, 2πr = 88
or, 2 * 22/7 * r = 88
or, r = 14
Thus the radius of the base is 14 cm
Now the area of the base circle is
= πr²
= 22/7 * 14² cm²
= 616 cm²
Therefore the volume of the cylinder is
= area of the base * height of the cylinder
= 616 * 15 cm³
= 9240 cm³
Formula:
If r be the radius of the base of a cylinder and h be its height, then the volume of the cylinder is given by πr²h in cubic units.
# What is the volume of the cylinder here? #
Consider a circular disc in the base and take a cylinder to have been placed vertically. Now imagine the disc to be pulled up to the upper most bound of the cylinder. So you see, the volume is nothing but the region covered by the disc the height of the cylinder. Thus multiply the area of the disc by the height of the cylinder and you get its volume.