Question

The diameter of a cylindrical closed bottle is 28 cm and its height is 40 cm. What is the total surface area of the bottle?

• A. $4856{\text{cm}}^2$
• B. $4752{\text{cm}}^2$
• C. $4792{\text{cm}}^2$
• D. $4742{\text{cm}}^2$

Answer 1

The correct option is B

$4752{\text{cm}}^2$

Given
Diameter = 28 cm
$\Rightarrow$ Radius of bottle, r = 14 cm

Height, h = 40 cm

Total surface area of a cylinder
$=\text{Curved surface area}+2\times \text{Base Area}$

$=2\pi rh+2\pi r^2$

$=2\pi r(h+r)$

$=2\times \frac{22}{7}\times 14\times (40+14)$

$=2\times 22\times 2\times 54$

$=4752{\text{cm}}^2$

Therefore, total surface area of the bottle = 4752 sq cm.