Question

Suppose the sphere below with radius r has a volume equal to45 units. Find the volume of the sphere with twice the radius.-27-A. 90 units 3B. 360 units3C. 180 units3D. 450 units2

Answer 1

The volume of the given sphere is 45 cubic units

`(4)/(3)\pi* r^3=45^{}`

Now replce r by 2r so that:-

`\begin{gathered} (4)/(3)\pi*(2r)^3=(4)/(3)\pi*8* r^3 \\ =8*(4)/(3)\pi* r^3 \\ =8*45 \\ =360 \end{gathered}`

So the volume of the sphere twice the radius of first sphere is 360 cubic units.

Hence the correct option is (B).