Question:
Mark (✓) against the correct answer:
The circumference of the circular base of a cylinder is 44 cm and its height is 15 cm. The volume of the cylinder is
(a) 1155 cm3
(b) 2310 cm3
(c) 770 cm3
(d) 1540 cm3
Solution:
(b) $2310 \mathrm{~cm}^{3}$
Height $=15 \mathrm{~cm}$
Circumference $=2 \pi \mathrm{r}=44 \mathrm{~cm}$
$\therefore r=\frac{44 \times 7}{2 \times 22}=7 \mathrm{~cm}$
$\therefore$ Volume $=\pi r^{2} \mathrm{~h}=\frac{22}{7} \times 7 \times 7 \times 15=2310 \mathrm{~cm}^{3}$