Q. 20 - Calculus

Question

The mass of an object with density $600$ grams per cubic centimeter in the shape of a cone with radius $0.5$ meters and height $1$ meter. 

Step-by-Step Solution

Answer

The mass of the object is $157000 kg.$

Step 1. Given information.

Density of the object is $600g/c{m}^3$

Radius of the cone is $0.5m$

Height of the cone is $1m.$

Step 2. Value of the mass.

We know,

$$\begin{gathered} Mass=Volume\times Density \\ =\frac{1}{3}{\mathrm{\pi r}}^2\mathrm{h}\times 600\times 1000\mathrm{m}/{\mathrm{kg}}^3 \\ =\frac{1}{3}\times 3.14\times 0.5\times 0.5\times 1\times 600\times 1000 \\ =157000 \end{gathered}$$