Question

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

Answer 1

A] 12320cm³

Explanation:

Formula for finding the Volume of a cylinder is:

`\pi r^(2) h`

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

Circumference = 2
`\pi`r

88 = 2 ×
`\pi` × r

r =
`(88)/(2\pi )`

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 =
`\pi r^(2) h`

=
`\pi` ×
`(14.01)^(2)` × 20

=
`\pi` × 196.3 × 20

= 12334cm

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