Question

Find the surface area and the volume of the figure below round your answer to the nearest whole number

Answer 1

The shape in the questionis a sphere having

Radius = 10ft

Finding the Surface area

The surface area of a square is given as

`\text{Surface Area of sphere = 4}\pi r^2`

putting the value for radius

`\begin{gathered} \text{Surface Area of sphere = 4 }*(22)/(7)*\text{ 10}*10 \\ \text{Surface Area of sphere = }\frac{4\text{ }*22*10ft*10ft}{7} \\ \text{Surface Area of sphere = }(8800ft^2)/(7) \\ \text{Surface Area of sphere = 1257.14ft}^2 \\ \text{Surface Area of sphere }\cong1257ft^2\text{ ( to the nearest whole number)} \end{gathered}`

The surface area of the sphere = 1257 square feet

Finding the volume

The volume of a sphere is given as

`\text{volume of sphere = }(4)/(3)\pi r^3`

putting the value of radius

`\begin{gathered} \text{Volume of sphere = }(4)/(3)*(22)/(7)\text{ }*10ft\text{ }*10ft\text{ }*10ft \\ \text{Volume of sphere = }(88000ft^3)/(21) \\ \text{Volume of sphere = 4190.47ft}^3 \\ \text{Volume of sphere}\cong4190ft^3\text{ (to the nearest whole number)} \end{gathered}`

Therefore, the volume of the sphere = 4190 cubic feet