Question

Find the surface area of a sphere with a radius of 3.6 ft. Use 3.14 for pi. Round your answer to the nearest

hundredth, if necessary. (1 point)
The surface area is blank ft^2

Answer 1

The surface area of a sphere with a radius of 3.6 feet is
`\(162.24 \, \text{ft}^2\)`. Calculated using the formula
`\(A = 4\pi r^2\)`, where r is the radius and
`\(\pi\)` is approximated as 3.14, rounding to the nearest hundredth for precision.

To find the surface area (A) of a sphere, we use the formula
`\(A = 4\pi r^2\)`, where r is the radius. Given a radius of 3.6 feet, substitute this value into the formula:

`\[ A = 4 * 3.14 * (3.6)^2 \]`

Calculate:

`\[ A = 4 * 3.14 * 12.96 \]`

`\[ A = 162.24 \, \text{ft}^2 \]`

Therefore, the surface area of the sphere is
`\(162.24 \, \text{ft}^2\)`. The use of 3.14 for
`\(\pi\)` and rounding the answer to the nearest hundredth ensures the precision of the result. The calculation involves squaring the radius, multiplying by
`\(4\pi\)`, and performing the necessary arithmetic.