A milk storage tank is made by welding a right circular cylindrical shell to two…
MATHEMATICS · Multi-part · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes
Problem
A milk storage tank is made by welding a right circular cylindrical shell to two identical hemispherical caps. The internal diameter of every part is 1.4 m and the length of the cylindrical shell alone is 1.0 m.
(i) Show that the capacity of the completely closed tank is about 2.98 m3. Express this capacity also in litres, correct to the nearest litre.
(ii) The milk from the full tank is to be packed in cuboidal cartons of size 10 cm×7 cm×4 cm. How many complete cartons can be filled?
(iii) During transfer, 2% of the milk is spilt. Determine the number of complete cartons that can now be filled.