Question

Find the weight of a solid cone whose base is of diameter 14 cm and vertical height 51 cm, supposing the material of which it is made weighs 10 grams per cubic cm.

Answer 1

To find the weight of the cone we first need to find its volume.

The formula of the volume of a cone with base radius ‘r’ and vertical height ‘h’ is given as

Volume of cone =

Here, the diameter is given as 14 cm. From this we get the base radius as r = 7 m.

Substituting the values of r = 7 cm and h = 51 cm in the above equation and using

Volume =

= (22) (7) (17)

= 2618

Hence the volume of the given cone with the specified dimensions is 2618 m³

Now, it is given that material of which the cone is made up of weighs 10 grams per cubic meter.

Hence the entire weight of the cone = (Volume of the cone) (10)

= (2618) (10)

= 26180 gram

Hence the weight of the cone is