Question

A cylindrical test tube holds 6π cm of liquid when filled to the 6cm mark what is the diameter of the test tube to the nearest hundredth of a Centimeter

Answer 1

2cm

Explanation:

Given data

Capacity/volume of liquid held= 6π cm^3

Height= 6cm

Required

The diameter d of the tube

let us apply the expression for the volume of cylinder

V=πr^2h

6π=πr^2*6

6=r^2*6

r^2= 6/6

r^2=1

r= √1

r=1cm

Hence the diameter d = 2r= 2*1= 2cm