Here are some expressions

1)pir^2l
2)2pir^2
3)4pir^3
4)abrl
5)abl over r
6)3(a^2+b^2)r
7)pirl

The letters r, l, a and b represent lengths. pi, 2, 3 and 4 are numbers that have no dimensions. Three of the expressions represent volumes. Which ones are they?

please could you help
thanks in advance :)

1 answer

A volume is any quantity that has a length^3 dimension.

For example, take 1).

pi * r^2 * l
pi is dimensionless
r has dimension of length, so r^2 has dimension length^2
l has dimension of length, so r^2 * l has a dimension of length^3. Therefore, 1) is a volume.