Find the volume of a sphere with a radius of 1.1 feet, rounded to the nearest hundredth.

answers:

16.72 ft^3

5.58 ft^3

15.29 ft^3

6.82 ft^3

1 answer

To find the volume of a sphere, you can use the formula:

\[ V = \frac{4}{3} \pi r^3 \]

where \( r \) is the radius of the sphere.

Given the radius \( r = 1.1 \) feet, we can substitute this value into the formula:

\[ V = \frac{4}{3} \pi (1.1)^3 \]

Calculating \( (1.1)^3 \):

\[ (1.1)^3 = 1.1 \times 1.1 \times 1.1 = 1.331 \]

Now, substitute back into the volume formula:

\[ V = \frac{4}{3} \pi (1.331) \]

Calculating \( \frac{4}{3} \times 1.331 \):

\[ \frac{4}{3} \times 1.331 \approx 1.775 \]

Now, multiply by \( \pi \) (approximately 3.14159):

\[ V \approx 1.775 \times 3.14159 \approx 5.579 \]

Rounding to the nearest hundredth:

\[ V \approx 5.58 , \text{ft}^3 \]

Thus, the volume of the sphere is approximately 5.58 ft³.