Find the volume of a sphere with a radius of 1.8 yards. Leave your answer in terms of pi. Round your answer to the nearest hundredth, if necessary. (1 point)

Question

A visual representation of a geometrical problem involving a sphere. The scene depicts a perfect sphere floating in space, with a radius of 1.8 yards illustrated by a thin, glowing line. The sphere has a translucent surface, allowing us to behold its 3-dimensional nature. Below the sphere, as a graphical representation and not as written text, four distinct areas are marked, possibly indicating the four choices given in the problem: areas equivalent to 24.43 cubic yards, 7.78 cubic yards, 7.2 cubic yards, and 23.34 cubic yards.

Find the volume of a sphere with a radius of 1.8 yards. Leave your answer in terms of pi. Round your answer to the nearest hundredth, if necessary. (1 point)

24.43 squared yds^3
7.78 squared yds^3
7.2 squared yds^3
23.34 squared yds^3

Answer 1

The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius.

Plugging in the given radius of 1.8 yards, we have:

V = (4/3)π(1.8^3)
V ≈ (4/3)(3.14)(5.832)
V ≈ 6.18672π

Rounding to the nearest hundredth, we have:

V ≈ 6.19π

Therefore, the volume of the sphere is approximately 6.19 squared yds^3.