A laser pointer in the shape of a cylinder is 13 centimeters long with a radius of 1 centimeter. It has a cone tip with a height of 3 centimeters. What is the volume of the stylus? Express your answer in terms of π.

Respuesta :

The volume of the cylindrical stylus having a conical tip will be V=14π [tex]cm^{3}[/tex]

What will be the volume of the stylus?

It is given that

height of the cylindrical shape of the stylus h=13cm

radius of stylus r= 1cm

height of the conical tip of the stylus h=3cm

Now we know that the

The volume of the cylinder = [tex]\pi r^{2} h[/tex]

The volume of the cone =  [tex]\dfrac{1}{3} \pi r^{2} h[/tex]

The total volume of the stylus = volume of the cylinder +volume of the cone

Total volume = [tex]\pi r^{2} h + \fdrac{1}{3} \pi r^{2} h[/tex]

now by putting the values

[tex]=\pi (13)(1)^{2} +\dfrac{1}{3} \pi (1)^{2} (3)[/tex]

So the total volume = [tex]14\pi cm^{3}[/tex]

Thus the volume of the cylindrical stylus having a conical tip will be V=14π [tex]cm^{3}[/tex]

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