The curved surface area of a right circular cylinder is 4.4 m2. If the radius of its base is 0.7 m, find its
Question:
The curved surface area of a right circular cylinder is 4.4 m2. If the radius of its base is 0.7 m, find its
(i) height and
(ii) volume.
Solution:
Radius of the cylinder, r = 0.7 m
Curved surface area of cylinder = 4.4 m2
(i) Let the height of the cylinder be h m.
$\therefore 2 \pi r h=4.4$
$\Rightarrow 2 \times \frac{22}{7} \times 0.7 \times h=4.4$
$\Rightarrow h=\frac{4.4 \times 7}{2 \times 22 \times 0.7}=1 \mathrm{~m}$
Thus, the height of the cylinder is 1 m.
(ii) Volume of the cylinder $=\pi r^{2} h=\frac{22}{7} \times(0.7)^{2} \times 1=1.54 \mathrm{~m}^{3}$
Thus, the volume of the cylinder is 1.54 m3.