Find the volume and surface area of a sphere with: (Keep in terms of pi and include pi in your answer) r = 0.5 in

Answer 1

Hi Audrey!

The volume of a sphere is given by the following equation: 4/3 × π × r³

It also may be helpful to think of the radius as a fraction--> 1/2 inches

Plugging the radius into the equation, you get 4/3 × π × (1/2)³

To simplify, let's start with (1/2)³, which is equal to (1)³ / (2)³, or 1/8

We now have 4/3 × π × 1/8

To simplify further, we can do 4/3 × 1/8, which is 4/24, or 1/6

So, the volume of the sphere is 1/6 × π inches³.

Next, the equation for the surface area of a sphere is 4π r².

Plugging in the radius, we get 4 × π × (1/2)²

To simplify, we can start with (1/2)², which is equal to 1/4.

We now have 4 × π × 1/4.

To simplify even further, we can do 4 × 1/4, which gives us 1.

So, the surface area of the sphere is 1π inches², or just simply π inches².

I hope this was helpful!