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)$$\frac{2264}{8} = \pi r^2$
283 = $\pi r^2$
$\frac{283}{ \pi } = r^2$
$\sqrt{ \frac{283}{ \pi } } = r$
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

$\frac{9.49}{2}$ = 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