Case Study Based Question
For decoration purpose Sneha bought 100 orbeez balls and she put them in a cylindrical shaped box. After filling the box with water, the balls swells up and completely filled the cylindrical shaped box. Behind the packet of the orbeez balls, it is written that the increase in volume of each orbeez ball will be 32% of their original volume. If the radius of the cylindrical box was 15 cm and height 14 cm. Then answer the given questions.
i) Find the volume of each orbeez ball after swelling. [99 cm³]
ii) Find the volume of each orbeez ball before swelling. [77 cm³]
iii) How many orbeez ball before swelling were needed to completely fill the cylindrical shaped box before? [132]
iv) What was the radius of orbeez ball before swelling up? [(1575/88)^1/3