Question

Find the volume of this object.Use 3 for .Volume of a CylinderV=Tr2hVolume of a Sphere4 cmV=42 1/2 1 13Tr36 cm8 cmV ~ [?]cm3

Answer 1

`\text{Volume of the object = 544 cm}^3`

Step-by-step explanation:

The object consists of a cylinder and a sphere

To get the volume of the object, we will find the volume of the cylinder and the sphere and sum it up

`\text{Volume of a cylinder = }\pi r^(2)h`

height = 6 cm

diameter = 8 cm

radius = diameter/2 = 8/2

radius = 4 cm

π = 3

`\begin{gathered} \text{Volume of the cylinder = 3 }*4^2*6 \\ Volume\text{ }of\text{ }the\text{ }cylinder=288cm^3\text{ } \end{gathered}`
`\text{Volume of a sphere = }(4)/(3)\pi r^3`

radius = 4cm

π = 3

`\begin{gathered} \text{Volume of the sphere = }(4)/(3)*3*4^3 \\ \text{Volume of the sphere = 256 cm}^3 \end{gathered}`

Volume of the object = Volume of the cylinder + Volume of the sphere

`\begin{gathered} \text{Volume of the object = 288 + 256} \\ \text{Volume of the object = 544 cm}^3 \end{gathered}`