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Sfjac · Answer 1 · 2023-06-21T13:57:56+0000

Step-by-step explanation

The volume of the object is the sum of the volumes of the composite solids that make up the object. Since each solid is a cylinder, we will make use of the formula below.

$\text{Volume of a cylinder =}\pi r^2h$

The question gives the following parameters for the solids

$\begin{gathered} \text{Solid 1 }\mleft\lbrace r=(4)/(2)=2;h=7\mright\rbrace \\ Solid\text{ 2 }\mleft\lbrace r=(8)/(2)=4;h=1\mright\rbrace \\ \text{where }\pi=3 \end{gathered}$

We can substitute the parameters into the formula.

$\begin{gathered} \text{Volume of solid 1=}3*2^2*7=84\operatorname{cm}^3 \\ \text{Volume of solid 2 = }3*4^2*1=48cm^3 \end{gathered}$

Therefore;

$\text{Volume of the object }=84+48=132\operatorname{cm}^3$

Answer:

$132\operatorname{cm}^3$

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