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A partial cylinder lies on its side. The bases are a 90� sector of a circle. What is the exact volume of the partial cylinder?

A partial cylinder lies on its side The bases are a 90 sector of a circle What is the exact volume of the partial cylinder class=

Respuesta :

As the partial cylinder is one fourth of the regular cylinder ,

So the formula for volume is given by

[tex] V= \frac{1}{4} \pi r^{2} h [/tex]

Plugging all the values we get

[tex] V= \frac{1}{4} \pi (8)^{2} (10) = \frac{1}{4} \pi *64 * 10 = 160\pi [/tex] [tex] in^3 [/tex]

Answer:

160π[tex]in^{3}[/tex]

Step-by-step explanation:

Since,wearegiven a partial cylinder, therfore volume of the partial cylinder will be:

V= [tex]\frac{1}{4} \pi r^{2}h[/tex]

V= [tex]\frac{1}{4} \pi 8^{2} (10)[/tex]    (r= 8in and h= 10in)

V= [tex]\frac{1}{4} \pi (64)(10)[/tex]

V= 160π [tex]in^{3}[/tex]

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