Question

A spherical boulder is 20 ft in diameter and weighs almost 6 tons. Find the volume. Use 3.14 for a.The volume of the boulder is approximately 13(Round to the nearest whole number as needed.)​

Answer 1

Given:

A spherical boulder is 20 ft in diameter and weighs almost 6 tons.

To find:

The volume of the boulder is approximately (Round to the nearest whole number as needed.)​

Solution:

To solve the given problem we will use the following formula of the volume of a sphere:

$\boxed{\bold{Volume \:of\:a\:sphere = \frac{4}{3} \pi r^3}}$

The diameter of the spherical boulder, d = 20 ft

So, the radius of the spherical boulder, r = $\frac{d}{2} = \frac{20}{2} = 10\:ft$

Now,

The volume of the boulder is,

= Volume of a sphere

= $\frac{4}{3}\times \pi \times r^3$

taking π = 3.14 and r = 10 ft

= $\frac{4}{3}\times 3.14 \times 10^3$

= $\frac{4}{3}\times 3.14 \times 1000$

= $4186.6666$

rounding off to the nearest whole number as asked

= $\bold{4187\:ft^3}$

Thus, the volume of the boulder is approximately → 4187 ft³.

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