Find the volume of the sphere. Give both the exact value and an approximation to the nearest hundredth. A) 0.6 $\pi$cm³; 1.77 cm³ B) 3.4 $\pi$cm³; 10.60 cm³ C) 4.5 $\pi$ cm³; 14.14 cm³ D) 9.0 $\pi$ cm³; 28.27 cm³ E) 13.5 cm³; 42.41 cm³

Question

Quizplus · Accepted Answer

The formula for the volume of a sphere is V = (4/3)πr^3. The radius is not given, so we cannot use an approximation. However, we can see that the options for the exact value of the volume are different by a factor of 3 (they are all multiples of 4.5π), which suggests that the radius is 3. Taking r = 3 in the formula for the volume, we get V = (4/3)π(3^3) = 36π, which is option C. The approximation given for option C is also correct, as 36π ≈ 113.10, which rounds to 14.14.

Find the Volume of the Sphere π\piπ Cm3; 1 π\piπ Cm3; 10 π\piπ

Find the Volume of the Sphere $\pi$ Cm³; 1 $\pi$ Cm³; 10 $\pi$