Question

Calculate the volume of the sphere. Round to the nearest tenth. ( use the image provided ) ALSO When a balloon is blown up with air, it has a diameter of 13 inches. Calculate the volume of the balloon. Round to the nearest tenth.

Answer 1

Step-by-step explanation

We are asked to find the volume of the sphere given that the diameter is 8ft

The formula to be used will be

`\begin{gathered} v=(4)/(3)\pi r^3 \\ \\ where \\ r=radius=(diamter)/(2)=(8)/(2)=4ft \end{gathered}`

Therefore, the answer will be

`\begin{gathered} v=(4)/(3)*\pi*4^3 \\ \\ v=268.1ft^3 \end{gathered}`

Next

we are told that if the balloon is blown up with air

The diameter is 13 inches.

Therefore, the volume will be

`radius=(diameter)/(2)=(13inches)/(2)=6.5inches`

Hence

`v=(4)/(3)*\pi*6.5^3=1150.3\text{ inches}^3`