A water tank is constructed by welding a right circular cylinder vertically on the…

MATHEMATICS · Multi-part · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes

Problem

A water tank is constructed by welding a right circular cylinder vertically on the top face of a cuboidal base. The inner dimensions are as follows: • Cuboidal part: 1.2 m×1.0 m×0.4 m1.2\,\text{m} \times 1.0\,\text{m} \times 0.4\,\text{m} • Cylindrical part: internal radius 0.5 m0.5\,\text{m}, height 2 m2\,\text{m} Assume the tank is completely filled with water. (i) Calculate the volume of the cuboidal portion. (ii) Calculate the volume of the cylindrical portion. (iii) Find the total capacity of the tank in litres. (Use 1 L=1000 cm31\,\text{L}=1000\,\text{cm}^3.)

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