A solid consisting of a right circular cone of height 120cm and radius 60cm standing on a hemisphere of radius 60cm is placed upright in a right circular cylinder full of water such that it touches the bottom. Find the volume of water left in the cylinder, if the radius of the cylinder is 60cm and its height is 180cm.

Given:
Radius (r) of hemispherical part = Radius (r) of conical part = 60cm
Height (h1) of conical part of solid = 120cm
Height (h1) of cylinder = 180cm
Radius (r) of cylinder = 60cm
Volume of water left = Volume of cylinder - Volume of solid
= Volume of cylinder - (Volume of cone + Volume of hemisphere)
= πr²h1 - [1/3πr²h2 + 2/3πr³]
= π × 60² × (180) - [1/3π × 60² × 120 + 2/3π × 60³]
= π(60)²[180 - (40 + 40)]
= π(3600)[100]
= 360000 × 22/7
= 1131428.57 cm³