Q. 19 - Calculus

Question

The mass of an object with density $12$ grams per cubic centimeter in the shape of a cylinder with radius $4$ centimeters and height $10$ centimeters. 

Step-by-Step Solution

Answer

The mass is $6028.8g$.

Step 1. Given information.

The density of the substance is $12\frac{g}{cm}$.

Radius of the cylinder is $4cm.$

Height of the cylinder is $10 cm.$

Step 2. Value of the mass.

We know,

$$\begin{gathered} Mass=Density\times Volume \\ Mass=12\times {\mathrm{\pi r}}^2\mathrm{h} \\ \mathrm{Mass}=12\times 3.14\times 4\times 4\times 10 \\ \mathrm{Mass}=6028.8\mathrm{g} \end{gathered}$$