Question

Find the radius of a sphere given the volume. Volume= 121.5(pi) cubic ft. A 6.8 ft B 4.5 ft

Answer 1

Answer:

Radius of the sphere = $\sqrt[3]{91.13} \,feet$

Step-by-step explanation:

Volume of a sphere is :

              $\dfrac{4}{3}\times \pi \times r^3$

For, Volume = $121.5\pi \,feet^3$

As, $\pi =\dfrac{22}{7}=3.14$

$121.5\times \pi =\dfrac{4}{3}\times \pi \times r^3 \\\\121.5=\dfrac{4}{3}\times r^3\\\\ 121.5\times \dfrac{3}{4} =r^3\\\\r^3=91.13\\\\r=\sqrt[3]{91.13} \,feet$

The radius of the sphere is : $\sqrt[3]{91.13} \,feet$