The correct option is
A 46.2kgGiven that,
The diameter of the base of a cone is
42 cm and its height is
20 cm.
Also, 1 cm3 of the material which the cone is made of weights 5 grams.
To find out,
The weight of the cone.
We know that, volume of a cone =13πr2h
Here, r=422=21 cm and h=20 cm
Hence, volume =13×227×(21)2×20[∵ π=227]
=22×21×21×2021
=22×21×20
=9240 cm3
∴ Volume =9240 cm3
Now, weight of 1 cm3=5 grams
Hence, weight of 9240 cm3=9240×5 grams
=46200 grams
We know that, 1000 grams=1 kg
Hence, 46200 grams=462001000 kg
=46.2 kg
Hence, the weight of the given solid cone is 46.2 kg.