Question : A conical vessel (solid) is made of iron. Its base radius is 7 cm and its height is 15 cm. If the weight of the iron per cubic centimetre is 15 g, what is the weight of the vessel?
Option 1: 13.55 kg
Option 2: 12.55 kg
Option 3: 14.55 kg
Option 4: 11.55 kg
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Correct Answer: 11.55 kg
Solution :
Base radius of conical vessel = 7 cm
Height of conical vessel = 15 cm
Weight of the iron per cubic centimetre (density) = 15 g
Volume of the Conical Vessel = $\frac{1}3\pi r^2h$
= $\frac{1}3\pi \times 7^2\times 15=770$ cm
3
Weight of vessel = Volume × Density
= 770 × 15
= 11550 gm
= 11.55 kg
Hence, the correct answer is 11.55 kg.
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