Question

A solid cylindrical party popper having radius 7 cm and length 20 cm needs to be gift wrapped by a paper sheet. What is the area of sheet required to cover it completely ?

• A. $1148{\text{cm}}^2$
• B. $1248{\text{cm}}^2$
• C. $1198{\text{cm}}^2$
• D. $1188{\text{cm}}^2$

Answer 1

The correct option is D

$1188{\text{cm}}^2$

Radius = 7 cm

Height (Length) = 20 cm

Area of sheet required = Total Surface Area

Total Surface Area $=\text{Lateral surface area}+2\times \text{Base area}$

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

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

$=2\times \frac{22}{7}\times 7(20+7)$

$=1188{\text{cm}}^2$

Hence the area of the wrapping sheet required $=1188{\text{cm}}^2$