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.

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