Question

a cylinder has a mass of 33 grams and diameter of 4 cm and measures 3 cm in height and calculate the density of cylinder​

Answer 1

Answer:

Volume of a Cylinder:

In geometry, a cylinder is a three-dimensional shape with a circular base, a circular top and straight sides. It is the solid figure that you get when you rotate a rectangle about one of its sides. In most cases when we talk about the volume of a cylinder, we are talking about how much liquid it can hold.

The strictly correct way of saying it is "the volume surrounded by a cylinder" - the amount of liquid it holds. But many textbooks simply tell "the volume of a cylinder" to mean the same thing.

Remember that the radius and the height must be in the same units - convert them if necessary.

The resulting volume will be in those cubic units. So if the height and radius are both in centimeters, then the volume will be in cubic centimeters.

The volume of a cylinder is found by multiplying the area of its top or base by its height and is defined as: V = π· r2· h

Example 1: A cylindrical water storage tank has an inside base radius of 7m and depth of 11 m. Find the capacity of the tank in kiloliters (1kl = 1m3).

Solution:

Base radius: r = 7 m

Height: h = 11 m

The water storage tank is in the shape of the cylinder. So using the volume of cylinder formula we can find the volume of it.

V = π· r2· h

V = π· 72· 11

V = 1692.46 m3 = 1692.46 kl

Example 2: Find the volume of a cylinder whose base radius is 6 cm and height is 4 cm.

Solution:

Base radius: r = 6 cm

Height: h = 4 cm

V = π· r2· h

V = 3.14· 62· 4

V = 452.16 cm3