Question

Find the lateral surface area and the total surface area of a cylinder with base radius 7 m and height 9 m

• A. 396 m${}^2$, 704 m${}^2$
• B. 704 m${}^2$, 396 m${}^2$
• C. 396 m, 704m
• D. 704m, 396m

Answer 1

Answer: (C)

396 m, 704m

Given s= 7m, h=9 m
Lateral surface area = Area of the curved surface =$2\pi rh=2\times \frac{22}{7}\times 7m\times 9m=396m^2$
Total surface area = Area of curved surface + Area of two circular surfaces
$=2\pi rh+2\pi r^2=396m^2+2\times \frac{22}{7}\times 7m\times 7m=(396+308)m^2=704m^2$