MATHEMATICS · Multi-part · CBSE · Mathematics · Number Systems · Number Systems
Problem
A factory has two cylindrical storage tanks. The first tank holds C1=1023 litres of liquid, while the second tank holds C2=10032 litres.
(i) Express both C1 and C2 as powers of 10 written in the form 10k, where k is a rational number.
(ii) Without using a calculator, determine which tank has the larger capacity.
(iii) Calculate, to two decimal places, the percentage by which the capacity of the larger tank exceeds that of the smaller tank. Show all working.