19.
The circumference of a circular part of a
cylinder is 88cm. Its height is 20cm.
Calculate the volume of the cylinder
A. 12320cm
B. 30.8cm
C. 3080cm
D. 1760cm

Respuesta :

Answer:

A] 12320cm³

Step-by-step explanation:

Formula for finding the Volume of a cylinder is:

[tex]\pi r^{2} h[/tex]

We have to find the r (radius) from the circumference given, since the value of r is not given.

Circumference = 2[tex]\pi[/tex]r

88 = 2 × [tex]\pi[/tex] × r

r = [tex]\frac{88}{2\pi }[/tex]

r = 14.005...cm

∴  r is 14.01cm.

Now that we have found the value of r, we can proceed to find the volume of the cylinder.

Volume = [tex]\pi r^{2} h[/tex]

= [tex]\pi[/tex] × [tex](14.01)^{2}[/tex] × 20

= [tex]\pi[/tex] × 196.3 × 20

= 12334cm

(Since I've used the whole value of Pi ([tex]\pi[/tex]), my answer didn't specifically match any of the options, but it is closer to the A option, thus 12320cm³ is your answer)

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