Question

11. A cylinder and a sphere both have the same radius, 4. The height of the cylinder isequal to the diameter of the sphere. Select the expression that describes thevolume of the cylinder that is not occupied by the sphere. (Use 3.14)A. 39.67B. 85.33T1 - 128TTC. 124.560D. 128TT – 85.33TT

Answer 1

Given that :

the radius of the cylinder and sphere = 4 units

the height of the cylinder (h) is equal to the diameter (d) of the sphere

the diameter of the sphere = 2 x radius = 2 x 4 = 8 units

also, the height of the cylinder = 8 units

The volume of the cylinder can be calculated using the formula:

$\begin{gathered} V=\pi r^2h \\ V=\pi\times4^2\times8 \\ V=128\pi \end{gathered}$

The volume of the Cylinder

$\begin{gathered} V=128\times3.14 \\ V=401.92uits^3 \end{gathered}$