Middle School

Find the surface area of a cylinder to the nearest tenth of a square unit. Use 3.14 for \(\pi\). The radius is 4.9 ft, and the height is 7.8 ft.

A. 38.2
B. 65.4
C. 286.2
D. 390.8

Answer :

The surface area of a cylinder to the nearest tenth is 390.8 square feet

Solution:

The surface area of cylinder is given as:

[tex]A=2 \pi rh+2 \pi r^2[/tex]

Where, r is the radius and h is the height

From given,

r = 4.9 feet

h = 7.8 feet

Substituting the values we get,

[tex]A = 2 \times 3.14 \times 4.9 \times 7.8 + 2 \times 3.14 \times 4.9^2\\\\A = 240.0216+150.7828\\\\A = 390.8044 \approx 390.8[/tex]

Thus the surface area of a cylinder to the nearest tenth is 390.8 square feet