Mensuration Practice Test 2

Total surface area of the cylinder = 2π r (r + h)
Total surface area of sphere = $4\mathit{\pi }{\mathit{r}}^2$
According to the question,
2πr (r + h) = $2\left(4\mathit{\pi }{\mathit{r}}^2\right)$
r + h = 4r
h = 3r
Volume of the cylinder : Volume of the sphere
$\mathit{\pi }{\mathit{r}}^2\mathit{h}$ : $\frac{4}{3}\mathit{\pi }{\mathit{r}}^3$
$\mathit{\pi }{\mathit{r}}^2\left(3\mathit{r}\right)$ : $\frac{4}{3}\mathit{\pi }{\mathit{r}}^3$
9 : 4