A conical vessel (solid) is made of iron. Its base radius is 7 cm and height is 15 cm. If the weight of the iron per cubic centimetre is 15 g, what is the weight of the vessel? 

11.55 kg

We know that,

Volume of the Conical Vessel = \(\frac{1}{3}\) πr²h

We have,

Radius of conical vessel= 7 cm

Height of conical vessel = 15 cm.

Weight of iron per cubic cm = 15 g.

Volume of the conical vessel is = \(\frac{1}{3}\) × \(\frac{22}{7}\) × (7)² × 15 = 770cm³

Weight of the vessel = 770 × 15 =11550 gm = 11.55 kg.