Question

A. 114 cm^3
B. 155 cm^3
C. 283 cm^3
D. 303 cm^3

Answer 1

Hey there :)

We apply the same rules as we did to the previous questions

V (big cylinder) =
`\pi r^2h`
2264 =
`\pi r^2(8)`
`(2264)/(8) = \pi r^2`
283 =
`\pi r^2`

`(283)/( \pi ) = r^2`

`\sqrt{ (283)/( \pi ) } = r`
r ≈ 9.49 cm

The ratio from the big cylinder to the small is:
8 : 4

Therefore, the big cylinder is 2 times the small cylinder


`(9.49)/(2)` = r
r ≈ 4.75 (radius of small cylinder)

V(small cylinder) =
`\pi (4.75)^2(4)`
= 283 cm³

Your answer is option C. 283 cm³