A laboratory stores liquids in small glass cylinders
MATHEMATICS · Multi-part · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes
Problem
A laboratory stores liquids in small glass cylinders. The manual states that each cylinder "holds exactly 150mL of liquid." A student points out that the internal dimensions printed on the cylinder are radius 1.5cm and height 10.5cm, and questions whether the stated capacity is correct.
(i) Without performing detailed calculations, describe the steps you would follow to check whether the student's doubt is justified.
(ii) State the unit conversion required to compare the calculated internal volume with the stated capacity, and explain why this conversion is necessary.
(iii) Write the formula that relates millilitres, cubic centimetres and cubic metres when measuring the capacity of a container.