Question

Figure is not drawn to scale.abusHules12 cmWhat is the surface area of the sphere?cm2What is the volume of the sphere?cm3

Answer 1

The Surface Area of a sphere is equal to four times the product of pi and the square radius, following the formula:

$SA=4\pi r^2$

The radius of the sphere is r=12cm, using this value you can determine the surface area as follows:

$\begin{gathered} SA=4\pi(12^2) \\ SA=4\pi\cdot144 \\ SA=576\pi cm^2 \end{gathered}$

The surface area of the sphere is 576π cm²

The volume of a sphere can be determined using the following formula:

$V=\frac{4}{3}\pi r^3$

For this sphere the radius has a length of 12cm, then the volume can be calculated as follows:

$\begin{gathered} V=\frac{4}{3}\pi(12^3) \\ V=\frac{4}{3}\pi\cdot1728 \\ V=2304\pi cm^3 \end{gathered}$

The volume of the sphere is 2304π cm³