Question

Find the surface area of a sphere with a diameter of 34 meters

a.3,972.04 m2
b.3,631.68 m2
c. 4,215.82 m2
d.2,723.76 m2

Answer 1

if its diameter is 34, then its radius is half that or 17.

`\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=17 \end{cases}\implies \begin{array}{llll} SA=4\pi (17)^2\implies SA=1156\pi \\\\\\ SA\approx 3631.68~m^2 \end{array}`

Answer 2

b. 3631.68 m²

Explanation:

The surface area of a sphere can be found using the formula ...

A = πd² . . . . where d is the diameter

__

For a diameter of 34 m, the area is ...

A = π(34 m)² = 1156π m² ≈ 3631.68 m²